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Finding the Fourth Proportional to 1,114.32, 1,539.18 and 966.90

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Solution

The fourth proportional to 1,114.32, 1,539.18 and 966.90 is: 1,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.32 : 1,539.18 = 966.90 : x
  2. Step 2: Convert to fraction form
    1,114.32/1,539.18 = 966.90/x
  3. Step 3: Cross multiply
    1,114.32x = 1,539.18 × 966.90
  4. Step 4: Simplify right side
    1,114.32x = 1,488,233.14
  5. Step 5: Solve for x
    x = 1,488,233.14/1,114.32
  6. Step 6: Final answer
    x = 1,335.55

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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.