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Finding the Fourth Proportional to 731.68, 1,092.24 and 704.32

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Solution

The fourth proportional to 731.68, 1,092.24 and 704.32 is: 1,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.68 : 1,092.24 = 704.32 : x
  2. Step 2: Convert to fraction form
    731.68/1,092.24 = 704.32/x
  3. Step 3: Cross multiply
    731.68x = 1,092.24 × 704.32
  4. Step 4: Simplify right side
    731.68x = 769,286.48
  5. Step 5: Solve for x
    x = 769,286.48/731.68
  6. Step 6: Final answer
    x = 1,051.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.