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Finding the Fourth Proportional to 691.38, 1,035.45 and 529.38

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Solution

The fourth proportional to 691.38, 1,035.45 and 529.38 is: 792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.38 : 1,035.45 = 529.38 : x
  2. Step 2: Convert to fraction form
    691.38/1,035.45 = 529.38/x
  3. Step 3: Cross multiply
    691.38x = 1,035.45 × 529.38
  4. Step 4: Simplify right side
    691.38x = 548,146.52
  5. Step 5: Solve for x
    x = 548,146.52/691.38
  6. Step 6: Final answer
    x = 792.83

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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.