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Finding the Fourth Proportional to 881.74, 1,321.26 and 534.16

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Solution

The fourth proportional to 881.74, 1,321.26 and 534.16 is: 800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.74 : 1,321.26 = 534.16 : x
  2. Step 2: Convert to fraction form
    881.74/1,321.26 = 534.16/x
  3. Step 3: Cross multiply
    881.74x = 1,321.26 × 534.16
  4. Step 4: Simplify right side
    881.74x = 705,764.24
  5. Step 5: Solve for x
    x = 705,764.24/881.74
  6. Step 6: Final answer
    x = 800.42

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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.