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Finding the Fourth Proportional to 1,105.20, 1,524.92 and 711.76

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Solution

The fourth proportional to 1,105.20, 1,524.92 and 711.76 is: 982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.20 : 1,524.92 = 711.76 : x
  2. Step 2: Convert to fraction form
    1,105.20/1,524.92 = 711.76/x
  3. Step 3: Cross multiply
    1,105.20x = 1,524.92 × 711.76
  4. Step 4: Simplify right side
    1,105.20x = 1,085,377.06
  5. Step 5: Solve for x
    x = 1,085,377.06/1,105.20
  6. Step 6: Final answer
    x = 982.06

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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.