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Finding the Fourth Proportional to 731.52, 1,009.80 and 469.62

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Solution

The fourth proportional to 731.52, 1,009.80 and 469.62 is: 648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.52 : 1,009.80 = 469.62 : x
  2. Step 2: Convert to fraction form
    731.52/1,009.80 = 469.62/x
  3. Step 3: Cross multiply
    731.52x = 1,009.80 × 469.62
  4. Step 4: Simplify right side
    731.52x = 474,222.28
  5. Step 5: Solve for x
    x = 474,222.28/731.52
  6. Step 6: Final answer
    x = 648.27

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