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Finding the Fourth Proportional to 691.72, 1,035.96 and 546.46

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Solution

The fourth proportional to 691.72, 1,035.96 and 546.46 is: 818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.72 : 1,035.96 = 546.46 : x
  2. Step 2: Convert to fraction form
    691.72/1,035.96 = 546.46/x
  3. Step 3: Cross multiply
    691.72x = 1,035.96 × 546.46
  4. Step 4: Simplify right side
    691.72x = 566,110.70
  5. Step 5: Solve for x
    x = 566,110.70/691.72
  6. Step 6: Final answer
    x = 818.41

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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.