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Finding the Fourth Proportional to 1,029.48, 1,540.52 and 754.88

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Solution

The fourth proportional to 1,029.48, 1,540.52 and 754.88 is: 1,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.48 : 1,540.52 = 754.88 : x
  2. Step 2: Convert to fraction form
    1,029.48/1,540.52 = 754.88/x
  3. Step 3: Cross multiply
    1,029.48x = 1,540.52 × 754.88
  4. Step 4: Simplify right side
    1,029.48x = 1,162,907.74
  5. Step 5: Solve for x
    x = 1,162,907.74/1,029.48
  6. Step 6: Final answer
    x = 1,129.61

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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.