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Finding the Fourth Proportional to 1,500.44, 2,250.72 and 575.69

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Solution

The fourth proportional to 1,500.44, 2,250.72 and 575.69 is: 863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.44 : 2,250.72 = 575.69 : x
  2. Step 2: Convert to fraction form
    1,500.44/2,250.72 = 575.69/x
  3. Step 3: Cross multiply
    1,500.44x = 2,250.72 × 575.69
  4. Step 4: Simplify right side
    1,500.44x = 1,295,705.74
  5. Step 5: Solve for x
    x = 1,295,705.74/1,500.44
  6. Step 6: Final answer
    x = 863.55

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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.