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Finding the Fourth Proportional to 1,034.88, 1,539.48 and 1,024.44

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Solution

The fourth proportional to 1,034.88, 1,539.48 and 1,024.44 is: 1,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.88 : 1,539.48 = 1,024.44 : x
  2. Step 2: Convert to fraction form
    1,034.88/1,539.48 = 1,024.44/x
  3. Step 3: Cross multiply
    1,034.88x = 1,539.48 × 1,024.44
  4. Step 4: Simplify right side
    1,034.88x = 1,577,104.89
  5. Step 5: Solve for x
    x = 1,577,104.89/1,034.88
  6. Step 6: Final answer
    x = 1,523.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.