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Finding the Fourth Proportional to 1,116.62, 1,540.96 and 619.24

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Solution

The fourth proportional to 1,116.62, 1,540.96 and 619.24 is: 854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.62 : 1,540.96 = 619.24 : x
  2. Step 2: Convert to fraction form
    1,116.62/1,540.96 = 619.24/x
  3. Step 3: Cross multiply
    1,116.62x = 1,540.96 × 619.24
  4. Step 4: Simplify right side
    1,116.62x = 954,224.07
  5. Step 5: Solve for x
    x = 954,224.07/1,116.62
  6. Step 6: Final answer
    x = 854.56

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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.