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Finding the Fourth Proportional to 1,116.50, 1,540.95 and 650.66

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Solution

The fourth proportional to 1,116.50, 1,540.95 and 650.66 is: 898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.50 : 1,540.95 = 650.66 : x
  2. Step 2: Convert to fraction form
    1,116.50/1,540.95 = 650.66/x
  3. Step 3: Cross multiply
    1,116.50x = 1,540.95 × 650.66
  4. Step 4: Simplify right side
    1,116.50x = 1,002,634.53
  5. Step 5: Solve for x
    x = 1,002,634.53/1,116.50
  6. Step 6: Final answer
    x = 898.02

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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.