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Finding the Fourth Proportional to 1,498.78, 2,247.09 and 574.18

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Solution

The fourth proportional to 1,498.78, 2,247.09 and 574.18 is: 860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.78 : 2,247.09 = 574.18 : x
  2. Step 2: Convert to fraction form
    1,498.78/2,247.09 = 574.18/x
  3. Step 3: Cross multiply
    1,498.78x = 2,247.09 × 574.18
  4. Step 4: Simplify right side
    1,498.78x = 1,290,234.14
  5. Step 5: Solve for x
    x = 1,290,234.14/1,498.78
  6. Step 6: Final answer
    x = 860.86

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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.