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Finding the Fourth Proportional to 1,126.20, 1,553.92 and 660.20

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Solution

The fourth proportional to 1,126.20, 1,553.92 and 660.20 is: 910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.20 : 1,553.92 = 660.20 : x
  2. Step 2: Convert to fraction form
    1,126.20/1,553.92 = 660.20/x
  3. Step 3: Cross multiply
    1,126.20x = 1,553.92 × 660.20
  4. Step 4: Simplify right side
    1,126.20x = 1,025,897.98
  5. Step 5: Solve for x
    x = 1,025,897.98/1,126.20
  6. Step 6: Final answer
    x = 910.94

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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.