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Finding the Fourth Proportional to 1,116.70, 1,679.10 and 1,092.40

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Solution

The fourth proportional to 1,116.70, 1,679.10 and 1,092.40 is: 1,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.70 : 1,679.10 = 1,092.40 : x
  2. Step 2: Convert to fraction form
    1,116.70/1,679.10 = 1,092.40/x
  3. Step 3: Cross multiply
    1,116.70x = 1,679.10 × 1,092.40
  4. Step 4: Simplify right side
    1,116.70x = 1,834,248.84
  5. Step 5: Solve for x
    x = 1,834,248.84/1,116.70
  6. Step 6: Final answer
    x = 1,642.56

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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.