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Finding the Fourth Proportional to 702.27, 1,048.55 and 658.53

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Solution

The fourth proportional to 702.27, 1,048.55 and 658.53 is: 983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.27 : 1,048.55 = 658.53 : x
  2. Step 2: Convert to fraction form
    702.27/1,048.55 = 658.53/x
  3. Step 3: Cross multiply
    702.27x = 1,048.55 × 658.53
  4. Step 4: Simplify right side
    702.27x = 690,498.34
  5. Step 5: Solve for x
    x = 690,498.34/702.27
  6. Step 6: Final answer
    x = 983.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.