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Finding the Fourth Proportional to 1,500.15, 2,249.78 and 575.64

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Solution

The fourth proportional to 1,500.15, 2,249.78 and 575.64 is: 863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.15 : 2,249.78 = 575.64 : x
  2. Step 2: Convert to fraction form
    1,500.15/2,249.78 = 575.64/x
  3. Step 3: Cross multiply
    1,500.15x = 2,249.78 × 575.64
  4. Step 4: Simplify right side
    1,500.15x = 1,295,060.48
  5. Step 5: Solve for x
    x = 1,295,060.48/1,500.15
  6. Step 6: Final answer
    x = 863.29

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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.