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Finding the Fourth Proportional to 1,116.20, 1,540.65 and 696.30

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Solution

The fourth proportional to 1,116.20, 1,540.65 and 696.30 is: 961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.20 : 1,540.65 = 696.30 : x
  2. Step 2: Convert to fraction form
    1,116.20/1,540.65 = 696.30/x
  3. Step 3: Cross multiply
    1,116.20x = 1,540.65 × 696.30
  4. Step 4: Simplify right side
    1,116.20x = 1,072,752.48
  5. Step 5: Solve for x
    x = 1,072,752.48/1,116.20
  6. Step 6: Final answer
    x = 961.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.