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Finding the Fourth Proportional to 1,155.56, 1,593.90 and 781.88

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Solution

The fourth proportional to 1,155.56, 1,593.90 and 781.88 is: 1,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.56 : 1,593.90 = 781.88 : x
  2. Step 2: Convert to fraction form
    1,155.56/1,593.90 = 781.88/x
  3. Step 3: Cross multiply
    1,155.56x = 1,593.90 × 781.88
  4. Step 4: Simplify right side
    1,155.56x = 1,246,238.53
  5. Step 5: Solve for x
    x = 1,246,238.53/1,155.56
  6. Step 6: Final answer
    x = 1,078.47

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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.