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Finding the Fourth Proportional to 680, 1,020.05 and 498.54

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Solution

The fourth proportional to 680, 1,020.05 and 498.54 is: 747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,020.05 = 498.54 : x
  2. Step 2: Convert to fraction form
    680/1,020.05 = 498.54/x
  3. Step 3: Cross multiply
    680x = 1,020.05 × 498.54
  4. Step 4: Simplify right side
    680x = 508,535.73
  5. Step 5: Solve for x
    x = 508,535.73/680
  6. Step 6: Final answer
    x = 747.85

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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.