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Finding the Fourth Proportional to 1,500.31, 2,249.65 and 575.67

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Solution

The fourth proportional to 1,500.31, 2,249.65 and 575.67 is: 863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.31 : 2,249.65 = 575.67 : x
  2. Step 2: Convert to fraction form
    1,500.31/2,249.65 = 575.67/x
  3. Step 3: Cross multiply
    1,500.31x = 2,249.65 × 575.67
  4. Step 4: Simplify right side
    1,500.31x = 1,295,056.02
  5. Step 5: Solve for x
    x = 1,295,056.02/1,500.31
  6. Step 6: Final answer
    x = 863.19

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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.