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Finding the Fourth Proportional to 689.80, 1,027.45 and 658.20

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Solution

The fourth proportional to 689.80, 1,027.45 and 658.20 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.80 : 1,027.45 = 658.20 : x
  2. Step 2: Convert to fraction form
    689.80/1,027.45 = 658.20/x
  3. Step 3: Cross multiply
    689.80x = 1,027.45 × 658.20
  4. Step 4: Simplify right side
    689.80x = 676,267.59
  5. Step 5: Solve for x
    x = 676,267.59/689.80
  6. Step 6: Final answer
    x = 980.38

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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.