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Finding the Fourth Proportional to 882.60, 1,322.64 and 517.56

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Solution

The fourth proportional to 882.60, 1,322.64 and 517.56 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.60 : 1,322.64 = 517.56 : x
  2. Step 2: Convert to fraction form
    882.60/1,322.64 = 517.56/x
  3. Step 3: Cross multiply
    882.60x = 1,322.64 × 517.56
  4. Step 4: Simplify right side
    882.60x = 684,545.56
  5. Step 5: Solve for x
    x = 684,545.56/882.60
  6. Step 6: Final answer
    x = 775.60

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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.