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Finding the Fourth Proportional to 880.97, 1,317.45 and 658.76

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Solution

The fourth proportional to 880.97, 1,317.45 and 658.76 is: 985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.97 : 1,317.45 = 658.76 : x
  2. Step 2: Convert to fraction form
    880.97/1,317.45 = 658.76/x
  3. Step 3: Cross multiply
    880.97x = 1,317.45 × 658.76
  4. Step 4: Simplify right side
    880.97x = 867,876.77
  5. Step 5: Solve for x
    x = 867,876.77/880.97
  6. Step 6: Final answer
    x = 985.13

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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.