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Finding the Fourth Proportional to 1,116.53, 1,540.82 and 619.18

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Solution

The fourth proportional to 1,116.53, 1,540.82 and 619.18 is: 854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.53 : 1,540.82 = 619.18 : x
  2. Step 2: Convert to fraction form
    1,116.53/1,540.82 = 619.18/x
  3. Step 3: Cross multiply
    1,116.53x = 1,540.82 × 619.18
  4. Step 4: Simplify right side
    1,116.53x = 954,034.13
  5. Step 5: Solve for x
    x = 954,034.13/1,116.53
  6. Step 6: Final answer
    x = 854.46

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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.