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Finding the Fourth Proportional to 882.26, 1,216.70 and 566.96

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Solution

The fourth proportional to 882.26, 1,216.70 and 566.96 is: 781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.26 : 1,216.70 = 566.96 : x
  2. Step 2: Convert to fraction form
    882.26/1,216.70 = 566.96/x
  3. Step 3: Cross multiply
    882.26x = 1,216.70 × 566.96
  4. Step 4: Simplify right side
    882.26x = 689,811.31
  5. Step 5: Solve for x
    x = 689,811.31/882.26
  6. Step 6: Final answer
    x = 781.87

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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.