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Finding the Fourth Proportional to 1,078.17, 1,487.88 and 658.55

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Solution

The fourth proportional to 1,078.17, 1,487.88 and 658.55 is: 908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.17 : 1,487.88 = 658.55 : x
  2. Step 2: Convert to fraction form
    1,078.17/1,487.88 = 658.55/x
  3. Step 3: Cross multiply
    1,078.17x = 1,487.88 × 658.55
  4. Step 4: Simplify right side
    1,078.17x = 979,835.93
  5. Step 5: Solve for x
    x = 979,835.93/1,078.17
  6. Step 6: Final answer
    x = 908.80

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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.