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Finding the Fourth Proportional to 1,498.91, 2,249.31 and 574.55

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Solution

The fourth proportional to 1,498.91, 2,249.31 and 574.55 is: 862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.91 : 2,249.31 = 574.55 : x
  2. Step 2: Convert to fraction form
    1,498.91/2,249.31 = 574.55/x
  3. Step 3: Cross multiply
    1,498.91x = 2,249.31 × 574.55
  4. Step 4: Simplify right side
    1,498.91x = 1,292,341.06
  5. Step 5: Solve for x
    x = 1,292,341.06/1,498.91
  6. Step 6: Final answer
    x = 862.19

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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.