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Finding the Fourth Proportional to 865.48, 1,289.48 and 824.20

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Solution

The fourth proportional to 865.48, 1,289.48 and 824.20 is: 1,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.48 : 1,289.48 = 824.20 : x
  2. Step 2: Convert to fraction form
    865.48/1,289.48 = 824.20/x
  3. Step 3: Cross multiply
    865.48x = 1,289.48 × 824.20
  4. Step 4: Simplify right side
    865.48x = 1,062,789.42
  5. Step 5: Solve for x
    x = 1,062,789.42/865.48
  6. Step 6: Final answer
    x = 1,227.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.