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Finding the Fourth Proportional to 913.46, 1,370.19 and 658.58

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Solution

The fourth proportional to 913.46, 1,370.19 and 658.58 is: 987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.46 : 1,370.19 = 658.58 : x
  2. Step 2: Convert to fraction form
    913.46/1,370.19 = 658.58/x
  3. Step 3: Cross multiply
    913.46x = 1,370.19 × 658.58
  4. Step 4: Simplify right side
    913.46x = 902,379.73
  5. Step 5: Solve for x
    x = 902,379.73/913.46
  6. Step 6: Final answer
    x = 987.87

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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.