Home / 1,233.04-1,849.15-411.07

Finding the Fourth Proportional to 1,233.04, 1,849.15 and 411.07

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Solution

The fourth proportional to 1,233.04, 1,849.15 and 411.07 is: 616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.04 : 1,849.15 = 411.07 : x
  2. Step 2: Convert to fraction form
    1,233.04/1,849.15 = 411.07/x
  3. Step 3: Cross multiply
    1,233.04x = 1,849.15 × 411.07
  4. Step 4: Simplify right side
    1,233.04x = 760,130.09
  5. Step 5: Solve for x
    x = 760,130.09/1,233.04
  6. Step 6: Final answer
    x = 616.47

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Half scale
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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.