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Finding the Fourth Proportional to 881.42, 1,216.92 and 566.81

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Solution

The fourth proportional to 881.42, 1,216.92 and 566.81 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,216.92 = 566.81 : x
  2. Step 2: Convert to fraction form
    881.42/1,216.92 = 566.81/x
  3. Step 3: Cross multiply
    881.42x = 1,216.92 × 566.81
  4. Step 4: Simplify right side
    881.42x = 689,756.34
  5. Step 5: Solve for x
    x = 689,756.34/881.42
  6. Step 6: Final answer
    x = 782.56

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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.