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Finding the Fourth Proportional to 1,029.75, 1,546.44 and 932.55

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Solution

The fourth proportional to 1,029.75, 1,546.44 and 932.55 is: 1,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.75 : 1,546.44 = 932.55 : x
  2. Step 2: Convert to fraction form
    1,029.75/1,546.44 = 932.55/x
  3. Step 3: Cross multiply
    1,029.75x = 1,546.44 × 932.55
  4. Step 4: Simplify right side
    1,029.75x = 1,442,132.62
  5. Step 5: Solve for x
    x = 1,442,132.62/1,029.75
  6. Step 6: Final answer
    x = 1,400.47

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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.