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Finding the Fourth Proportional to 881.84, 1,321.66 and 771.92

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Solution

The fourth proportional to 881.84, 1,321.66 and 771.92 is: 1,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.84 : 1,321.66 = 771.92 : x
  2. Step 2: Convert to fraction form
    881.84/1,321.66 = 771.92/x
  3. Step 3: Cross multiply
    881.84x = 1,321.66 × 771.92
  4. Step 4: Simplify right side
    881.84x = 1,020,207.25
  5. Step 5: Solve for x
    x = 1,020,207.25/881.84
  6. Step 6: Final answer
    x = 1,156.90

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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.