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Finding the Fourth Proportional to 1,178.91, 1,766.25 and 982.71

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Solution

The fourth proportional to 1,178.91, 1,766.25 and 982.71 is: 1,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.91 : 1,766.25 = 982.71 : x
  2. Step 2: Convert to fraction form
    1,178.91/1,766.25 = 982.71/x
  3. Step 3: Cross multiply
    1,178.91x = 1,766.25 × 982.71
  4. Step 4: Simplify right side
    1,178.91x = 1,735,711.54
  5. Step 5: Solve for x
    x = 1,735,711.54/1,178.91
  6. Step 6: Final answer
    x = 1,472.30

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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.