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Finding the Fourth Proportional to 731.73, 1,006.56 and 597.45

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Solution

The fourth proportional to 731.73, 1,006.56 and 597.45 is: 821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.73 : 1,006.56 = 597.45 : x
  2. Step 2: Convert to fraction form
    731.73/1,006.56 = 597.45/x
  3. Step 3: Cross multiply
    731.73x = 1,006.56 × 597.45
  4. Step 4: Simplify right side
    731.73x = 601,369.27
  5. Step 5: Solve for x
    x = 601,369.27/731.73
  6. Step 6: Final answer
    x = 821.85

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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.