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Finding the Fourth Proportional to 658.13, 980.24 and 623.43

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Solution

The fourth proportional to 658.13, 980.24 and 623.43 is: 928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 980.24 = 623.43 : x
  2. Step 2: Convert to fraction form
    658.13/980.24 = 623.43/x
  3. Step 3: Cross multiply
    658.13x = 980.24 × 623.43
  4. Step 4: Simplify right side
    658.13x = 611,107.91
  5. Step 5: Solve for x
    x = 611,107.91/658.13
  6. Step 6: Final answer
    x = 928.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.