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Finding the Fourth Proportional to 1,233.02, 1,849.28 and 411.06

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Solution

The fourth proportional to 1,233.02, 1,849.28 and 411.06 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.02 : 1,849.28 = 411.06 : x
  2. Step 2: Convert to fraction form
    1,233.02/1,849.28 = 411.06/x
  3. Step 3: Cross multiply
    1,233.02x = 1,849.28 × 411.06
  4. Step 4: Simplify right side
    1,233.02x = 760,165.04
  5. Step 5: Solve for x
    x = 760,165.04/1,233.02
  6. Step 6: Final answer
    x = 616.51

Related Problems

Find fourth proportional to 616.51, 924.64 and 205.53
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.