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Finding the Fourth Proportional to 1,102.70, 1,520.41 and 866.18

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Solution

The fourth proportional to 1,102.70, 1,520.41 and 866.18 is: 1,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.70 : 1,520.41 = 866.18 : x
  2. Step 2: Convert to fraction form
    1,102.70/1,520.41 = 866.18/x
  3. Step 3: Cross multiply
    1,102.70x = 1,520.41 × 866.18
  4. Step 4: Simplify right side
    1,102.70x = 1,316,948.73
  5. Step 5: Solve for x
    x = 1,316,948.73/1,102.70
  6. Step 6: Final answer
    x = 1,194.29

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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.