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Finding the Fourth Proportional to 731.76, 1,097.84 and 602.36

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Solution

The fourth proportional to 731.76, 1,097.84 and 602.36 is: 903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.76 : 1,097.84 = 602.36 : x
  2. Step 2: Convert to fraction form
    731.76/1,097.84 = 602.36/x
  3. Step 3: Cross multiply
    731.76x = 1,097.84 × 602.36
  4. Step 4: Simplify right side
    731.76x = 661,294.90
  5. Step 5: Solve for x
    x = 661,294.90/731.76
  6. Step 6: Final answer
    x = 903.70

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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.