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Finding the Fourth Proportional to 1,122.27, 1,548.63 and 827.70

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Solution

The fourth proportional to 1,122.27, 1,548.63 and 827.70 is: 1,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.27 : 1,548.63 = 827.70 : x
  2. Step 2: Convert to fraction form
    1,122.27/1,548.63 = 827.70/x
  3. Step 3: Cross multiply
    1,122.27x = 1,548.63 × 827.70
  4. Step 4: Simplify right side
    1,122.27x = 1,281,801.05
  5. Step 5: Solve for x
    x = 1,281,801.05/1,122.27
  6. Step 6: Final answer
    x = 1,142.15

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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.