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Finding the Fourth Proportional to 1,158.86, 1,599.27 and 634.88

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Solution

The fourth proportional to 1,158.86, 1,599.27 and 634.88 is: 876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.86 : 1,599.27 = 634.88 : x
  2. Step 2: Convert to fraction form
    1,158.86/1,599.27 = 634.88/x
  3. Step 3: Cross multiply
    1,158.86x = 1,599.27 × 634.88
  4. Step 4: Simplify right side
    1,158.86x = 1,015,344.54
  5. Step 5: Solve for x
    x = 1,015,344.54/1,158.86
  6. Step 6: Final answer
    x = 876.16

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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.