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Finding the Fourth Proportional to 731.61, 1,009.62 and 565.47

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Solution

The fourth proportional to 731.61, 1,009.62 and 565.47 is: 780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.61 : 1,009.62 = 565.47 : x
  2. Step 2: Convert to fraction form
    731.61/1,009.62 = 565.47/x
  3. Step 3: Cross multiply
    731.61x = 1,009.62 × 565.47
  4. Step 4: Simplify right side
    731.61x = 570,909.82
  5. Step 5: Solve for x
    x = 570,909.82/731.61
  6. Step 6: Final answer
    x = 780.35

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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.