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Finding the Fourth Proportional to 658.02, 987.03 and 564.89

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Solution

The fourth proportional to 658.02, 987.03 and 564.89 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.02 : 987.03 = 564.89 : x
  2. Step 2: Convert to fraction form
    658.02/987.03 = 564.89/x
  3. Step 3: Cross multiply
    658.02x = 987.03 × 564.89
  4. Step 4: Simplify right side
    658.02x = 557,565.84
  5. Step 5: Solve for x
    x = 557,565.84/658.02
  6. Step 6: Final answer
    x = 847.34

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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.