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Finding the Fourth Proportional to 1,500.42, 2,249.57 and 575.20

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Solution

The fourth proportional to 1,500.42, 2,249.57 and 575.20 is: 862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.42 : 2,249.57 = 575.20 : x
  2. Step 2: Convert to fraction form
    1,500.42/2,249.57 = 575.20/x
  3. Step 3: Cross multiply
    1,500.42x = 2,249.57 × 575.20
  4. Step 4: Simplify right side
    1,500.42x = 1,293,952.66
  5. Step 5: Solve for x
    x = 1,293,952.66/1,500.42
  6. Step 6: Final answer
    x = 862.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.