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Finding the Fourth Proportional to 1,261.60, 1,890.56 and 712.61

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Solution

The fourth proportional to 1,261.60, 1,890.56 and 712.61 is: 1,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.60 : 1,890.56 = 712.61 : x
  2. Step 2: Convert to fraction form
    1,261.60/1,890.56 = 712.61/x
  3. Step 3: Cross multiply
    1,261.60x = 1,890.56 × 712.61
  4. Step 4: Simplify right side
    1,261.60x = 1,347,231.96
  5. Step 5: Solve for x
    x = 1,347,231.96/1,261.60
  6. Step 6: Final answer
    x = 1,067.88

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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.