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Finding the Fourth Proportional to 731, 1,009.24 and 469.47

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Solution

The fourth proportional to 731, 1,009.24 and 469.47 is: 648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    731 : 1,009.24 = 469.47 : x
  2. Step 2: Convert to fraction form
    731/1,009.24 = 469.47/x
  3. Step 3: Cross multiply
    731x = 1,009.24 × 469.47
  4. Step 4: Simplify right side
    731x = 473,807.90
  5. Step 5: Solve for x
    x = 473,807.90/731
  6. Step 6: Final answer
    x = 648.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.