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Finding the Fourth Proportional to 732.97, 1,096.82 and 631.47

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Solution

The fourth proportional to 732.97, 1,096.82 and 631.47 is: 944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.97 : 1,096.82 = 631.47 : x
  2. Step 2: Convert to fraction form
    732.97/1,096.82 = 631.47/x
  3. Step 3: Cross multiply
    732.97x = 1,096.82 × 631.47
  4. Step 4: Simplify right side
    732.97x = 692,607.39
  5. Step 5: Solve for x
    x = 692,607.39/732.97
  6. Step 6: Final answer
    x = 944.93

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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.