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Finding the Fourth Proportional to 658.92, 984 and 572.40

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Solution

The fourth proportional to 658.92, 984 and 572.40 is: 854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.92 : 984 = 572.40 : x
  2. Step 2: Convert to fraction form
    658.92/984 = 572.40/x
  3. Step 3: Cross multiply
    658.92x = 984 × 572.40
  4. Step 4: Simplify right side
    658.92x = 563,241.60
  5. Step 5: Solve for x
    x = 563,241.60/658.92
  6. Step 6: Final answer
    x = 854.80

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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.