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Finding the Fourth Proportional to 1,233.53, 1,849.67 and 411.51

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Solution

The fourth proportional to 1,233.53, 1,849.67 and 411.51 is: 617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.53 : 1,849.67 = 411.51 : x
  2. Step 2: Convert to fraction form
    1,233.53/1,849.67 = 411.51/x
  3. Step 3: Cross multiply
    1,233.53x = 1,849.67 × 411.51
  4. Step 4: Simplify right side
    1,233.53x = 761,164.12
  5. Step 5: Solve for x
    x = 761,164.12/1,233.53
  6. Step 6: Final answer
    x = 617.06

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Double scale
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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.