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Finding the Fourth Proportional to 1,078.43, 1,488.27 and 658.73

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Solution

The fourth proportional to 1,078.43, 1,488.27 and 658.73 is: 909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.43 : 1,488.27 = 658.73 : x
  2. Step 2: Convert to fraction form
    1,078.43/1,488.27 = 658.73/x
  3. Step 3: Cross multiply
    1,078.43x = 1,488.27 × 658.73
  4. Step 4: Simplify right side
    1,078.43x = 980,368.10
  5. Step 5: Solve for x
    x = 980,368.10/1,078.43
  6. Step 6: Final answer
    x = 909.07

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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.