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Finding the Fourth Proportional to 882.88, 1,324.34 and 829.42

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Solution

The fourth proportional to 882.88, 1,324.34 and 829.42 is: 1,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.88 : 1,324.34 = 829.42 : x
  2. Step 2: Convert to fraction form
    882.88/1,324.34 = 829.42/x
  3. Step 3: Cross multiply
    882.88x = 1,324.34 × 829.42
  4. Step 4: Simplify right side
    882.88x = 1,098,434.08
  5. Step 5: Solve for x
    x = 1,098,434.08/882.88
  6. Step 6: Final answer
    x = 1,244.15

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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.