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Finding the Fourth Proportional to 1,159.28, 1,599.77 and 635.30

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Solution

The fourth proportional to 1,159.28, 1,599.77 and 635.30 is: 876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.28 : 1,599.77 = 635.30 : x
  2. Step 2: Convert to fraction form
    1,159.28/1,599.77 = 635.30/x
  3. Step 3: Cross multiply
    1,159.28x = 1,599.77 × 635.30
  4. Step 4: Simplify right side
    1,159.28x = 1,016,327.47
  5. Step 5: Solve for x
    x = 1,016,327.47/1,159.28
  6. Step 6: Final answer
    x = 876.69

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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.