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Finding the Fourth Proportional to 882.64, 1,323 and 449.36

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Solution

The fourth proportional to 882.64, 1,323 and 449.36 is: 673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.64 : 1,323 = 449.36 : x
  2. Step 2: Convert to fraction form
    882.64/1,323 = 449.36/x
  3. Step 3: Cross multiply
    882.64x = 1,323 × 449.36
  4. Step 4: Simplify right side
    882.64x = 594,503.28
  5. Step 5: Solve for x
    x = 594,503.28/882.64
  6. Step 6: Final answer
    x = 673.55

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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.