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Finding the Fourth Proportional to 733.70, 1,102.42 and 691.70

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Solution

The fourth proportional to 733.70, 1,102.42 and 691.70 is: 1,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.70 : 1,102.42 = 691.70 : x
  2. Step 2: Convert to fraction form
    733.70/1,102.42 = 691.70/x
  3. Step 3: Cross multiply
    733.70x = 1,102.42 × 691.70
  4. Step 4: Simplify right side
    733.70x = 762,543.91
  5. Step 5: Solve for x
    x = 762,543.91/733.70
  6. Step 6: Final answer
    x = 1,039.31

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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.