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Finding the Fourth Proportional to 1,182.17, 1,772.96 and 489.04

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Solution

The fourth proportional to 1,182.17, 1,772.96 and 489.04 is: 733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.17 : 1,772.96 = 489.04 : x
  2. Step 2: Convert to fraction form
    1,182.17/1,772.96 = 489.04/x
  3. Step 3: Cross multiply
    1,182.17x = 1,772.96 × 489.04
  4. Step 4: Simplify right side
    1,182.17x = 867,041.48
  5. Step 5: Solve for x
    x = 867,041.48/1,182.17
  6. Step 6: Final answer
    x = 733.43

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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.