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Finding the Fourth Proportional to 1,500.31, 2,250.78 and 513.04

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Solution

The fourth proportional to 1,500.31, 2,250.78 and 513.04 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.31 : 2,250.78 = 513.04 : x
  2. Step 2: Convert to fraction form
    1,500.31/2,250.78 = 513.04/x
  3. Step 3: Cross multiply
    1,500.31x = 2,250.78 × 513.04
  4. Step 4: Simplify right side
    1,500.31x = 1,154,740.17
  5. Step 5: Solve for x
    x = 1,154,740.17/1,500.31
  6. Step 6: Final answer
    x = 769.67

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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.