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Finding the Fourth Proportional to 824.98, 1,135.46 and 658.66

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Solution

The fourth proportional to 824.98, 1,135.46 and 658.66 is: 906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.98 : 1,135.46 = 658.66 : x
  2. Step 2: Convert to fraction form
    824.98/1,135.46 = 658.66/x
  3. Step 3: Cross multiply
    824.98x = 1,135.46 × 658.66
  4. Step 4: Simplify right side
    824.98x = 747,882.08
  5. Step 5: Solve for x
    x = 747,882.08/824.98
  6. Step 6: Final answer
    x = 906.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.