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Finding the Fourth Proportional to 641.70, 962.55 and 489.54

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Solution

The fourth proportional to 641.70, 962.55 and 489.54 is: 734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.70 : 962.55 = 489.54 : x
  2. Step 2: Convert to fraction form
    641.70/962.55 = 489.54/x
  3. Step 3: Cross multiply
    641.70x = 962.55 × 489.54
  4. Step 4: Simplify right side
    641.70x = 471,206.73
  5. Step 5: Solve for x
    x = 471,206.73/641.70
  6. Step 6: Final answer
    x = 734.31

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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.