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Finding the Fourth Proportional to 1,487.02, 2,231.46 and 513.82

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Solution

The fourth proportional to 1,487.02, 2,231.46 and 513.82 is: 771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.02 : 2,231.46 = 513.82 : x
  2. Step 2: Convert to fraction form
    1,487.02/2,231.46 = 513.82/x
  3. Step 3: Cross multiply
    1,487.02x = 2,231.46 × 513.82
  4. Step 4: Simplify right side
    1,487.02x = 1,146,568.78
  5. Step 5: Solve for x
    x = 1,146,568.78/1,487.02
  6. Step 6: Final answer
    x = 771.05

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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.