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Finding the Fourth Proportional to 674.90, 1,010.42 and 489.96

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Solution

The fourth proportional to 674.90, 1,010.42 and 489.96 is: 733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.90 : 1,010.42 = 489.96 : x
  2. Step 2: Convert to fraction form
    674.90/1,010.42 = 489.96/x
  3. Step 3: Cross multiply
    674.90x = 1,010.42 × 489.96
  4. Step 4: Simplify right side
    674.90x = 495,062.93
  5. Step 5: Solve for x
    x = 495,062.93/674.90
  6. Step 6: Final answer
    x = 733.54

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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.