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Finding the Fourth Proportional to 881.24, 1,216.28 and 566.90

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Solution

The fourth proportional to 881.24, 1,216.28 and 566.90 is: 782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.24 : 1,216.28 = 566.90 : x
  2. Step 2: Convert to fraction form
    881.24/1,216.28 = 566.90/x
  3. Step 3: Cross multiply
    881.24x = 1,216.28 × 566.90
  4. Step 4: Simplify right side
    881.24x = 689,500.22
  5. Step 5: Solve for x
    x = 689,500.22/881.24
  6. Step 6: Final answer
    x = 782.42

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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.