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Finding the Fourth Proportional to 1,500.45, 2,251.14 and 576.01

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Solution

The fourth proportional to 1,500.45, 2,251.14 and 576.01 is: 864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.45 : 2,251.14 = 576.01 : x
  2. Step 2: Convert to fraction form
    1,500.45/2,251.14 = 576.01/x
  3. Step 3: Cross multiply
    1,500.45x = 2,251.14 × 576.01
  4. Step 4: Simplify right side
    1,500.45x = 1,296,679.15
  5. Step 5: Solve for x
    x = 1,296,679.15/1,500.45
  6. Step 6: Final answer
    x = 864.19

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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.