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Finding the Fourth Proportional to 1,000.11, 1,380.14 and 557.91

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Solution

The fourth proportional to 1,000.11, 1,380.14 and 557.91 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.11 : 1,380.14 = 557.91 : x
  2. Step 2: Convert to fraction form
    1,000.11/1,380.14 = 557.91/x
  3. Step 3: Cross multiply
    1,000.11x = 1,380.14 × 557.91
  4. Step 4: Simplify right side
    1,000.11x = 769,991.12
  5. Step 5: Solve for x
    x = 769,991.12/1,000.11
  6. Step 6: Final answer
    x = 769.91

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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.