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Finding the Fourth Proportional to 1,158.28, 1,597.62 and 827.08

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Solution

The fourth proportional to 1,158.28, 1,597.62 and 827.08 is: 1,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.28 : 1,597.62 = 827.08 : x
  2. Step 2: Convert to fraction form
    1,158.28/1,597.62 = 827.08/x
  3. Step 3: Cross multiply
    1,158.28x = 1,597.62 × 827.08
  4. Step 4: Simplify right side
    1,158.28x = 1,321,359.55
  5. Step 5: Solve for x
    x = 1,321,359.55/1,158.28
  6. Step 6: Final answer
    x = 1,140.79

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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.