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Finding the Fourth Proportional to 1,116.80, 1,540.96 and 763.04

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Solution

The fourth proportional to 1,116.80, 1,540.96 and 763.04 is: 1,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.80 : 1,540.96 = 763.04 : x
  2. Step 2: Convert to fraction form
    1,116.80/1,540.96 = 763.04/x
  3. Step 3: Cross multiply
    1,116.80x = 1,540.96 × 763.04
  4. Step 4: Simplify right side
    1,116.80x = 1,175,814.12
  5. Step 5: Solve for x
    x = 1,175,814.12/1,116.80
  6. Step 6: Final answer
    x = 1,052.84

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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.