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Finding the Fourth Proportional to 658.20, 910.62 and 643.80

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Solution

The fourth proportional to 658.20, 910.62 and 643.80 is: 890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.20 : 910.62 = 643.80 : x
  2. Step 2: Convert to fraction form
    658.20/910.62 = 643.80/x
  3. Step 3: Cross multiply
    658.20x = 910.62 × 643.80
  4. Step 4: Simplify right side
    658.20x = 586,257.16
  5. Step 5: Solve for x
    x = 586,257.16/658.20
  6. Step 6: Final answer
    x = 890.70

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