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Finding the Fourth Proportional to 882.64, 1,217.58 and 550.96

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Solution

The fourth proportional to 882.64, 1,217.58 and 550.96 is: 760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.64 : 1,217.58 = 550.96 : x
  2. Step 2: Convert to fraction form
    882.64/1,217.58 = 550.96/x
  3. Step 3: Cross multiply
    882.64x = 1,217.58 × 550.96
  4. Step 4: Simplify right side
    882.64x = 670,837.88
  5. Step 5: Solve for x
    x = 670,837.88/882.64
  6. Step 6: Final answer
    x = 760.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.