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Finding the Fourth Proportional to 701.30, 1,049.79 and 658.10

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Solution

The fourth proportional to 701.30, 1,049.79 and 658.10 is: 985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.30 : 1,049.79 = 658.10 : x
  2. Step 2: Convert to fraction form
    701.30/1,049.79 = 658.10/x
  3. Step 3: Cross multiply
    701.30x = 1,049.79 × 658.10
  4. Step 4: Simplify right side
    701.30x = 690,866.80
  5. Step 5: Solve for x
    x = 690,866.80/701.30
  6. Step 6: Final answer
    x = 985.12

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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.