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Finding the Fourth Proportional to 882.28, 1,323.15 and 449.38

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Solution

The fourth proportional to 882.28, 1,323.15 and 449.38 is: 673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.28 : 1,323.15 = 449.38 : x
  2. Step 2: Convert to fraction form
    882.28/1,323.15 = 449.38/x
  3. Step 3: Cross multiply
    882.28x = 1,323.15 × 449.38
  4. Step 4: Simplify right side
    882.28x = 594,597.15
  5. Step 5: Solve for x
    x = 594,597.15/882.28
  6. Step 6: Final answer
    x = 673.93

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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.