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Finding the Fourth Proportional to 1,487.19, 2,231.81 and 513.29

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Solution

The fourth proportional to 1,487.19, 2,231.81 and 513.29 is: 770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.19 : 2,231.81 = 513.29 : x
  2. Step 2: Convert to fraction form
    1,487.19/2,231.81 = 513.29/x
  3. Step 3: Cross multiply
    1,487.19x = 2,231.81 × 513.29
  4. Step 4: Simplify right side
    1,487.19x = 1,145,564.75
  5. Step 5: Solve for x
    x = 1,145,564.75/1,487.19
  6. Step 6: Final answer
    x = 770.29

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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.