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Finding the Fourth Proportional to 951.08, 1,427.07 and 827.91

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Solution

The fourth proportional to 951.08, 1,427.07 and 827.91 is: 1,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.08 : 1,427.07 = 827.91 : x
  2. Step 2: Convert to fraction form
    951.08/1,427.07 = 827.91/x
  3. Step 3: Cross multiply
    951.08x = 1,427.07 × 827.91
  4. Step 4: Simplify right side
    951.08x = 1,181,474.25
  5. Step 5: Solve for x
    x = 1,181,474.25/951.08
  6. Step 6: Final answer
    x = 1,242.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.