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Finding the Fourth Proportional to 882.60, 1,321.02 and 496.68

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Solution

The fourth proportional to 882.60, 1,321.02 and 496.68 is: 743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.60 : 1,321.02 = 496.68 : x
  2. Step 2: Convert to fraction form
    882.60/1,321.02 = 496.68/x
  3. Step 3: Cross multiply
    882.60x = 1,321.02 × 496.68
  4. Step 4: Simplify right side
    882.60x = 656,124.21
  5. Step 5: Solve for x
    x = 656,124.21/882.60
  6. Step 6: Final answer
    x = 743.40

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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.