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Finding the Fourth Proportional to 1,281.57, 1,922.82 and 664.86

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Solution

The fourth proportional to 1,281.57, 1,922.82 and 664.86 is: 997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.57 : 1,922.82 = 664.86 : x
  2. Step 2: Convert to fraction form
    1,281.57/1,922.82 = 664.86/x
  3. Step 3: Cross multiply
    1,281.57x = 1,922.82 × 664.86
  4. Step 4: Simplify right side
    1,281.57x = 1,278,406.11
  5. Step 5: Solve for x
    x = 1,278,406.11/1,281.57
  6. Step 6: Final answer
    x = 997.53

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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.