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Finding the Fourth Proportional to 820.57, 1,132.33 and 489.02

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Solution

The fourth proportional to 820.57, 1,132.33 and 489.02 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.57 : 1,132.33 = 489.02 : x
  2. Step 2: Convert to fraction form
    820.57/1,132.33 = 489.02/x
  3. Step 3: Cross multiply
    820.57x = 1,132.33 × 489.02
  4. Step 4: Simplify right side
    820.57x = 553,732.02
  5. Step 5: Solve for x
    x = 553,732.02/820.57
  6. Step 6: Final answer
    x = 674.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.