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Finding the Fourth Proportional to 1,487.65, 2,231.61 and 513.82

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Solution

The fourth proportional to 1,487.65, 2,231.61 and 513.82 is: 770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.65 : 2,231.61 = 513.82 : x
  2. Step 2: Convert to fraction form
    1,487.65/2,231.61 = 513.82/x
  3. Step 3: Cross multiply
    1,487.65x = 2,231.61 × 513.82
  4. Step 4: Simplify right side
    1,487.65x = 1,146,645.85
  5. Step 5: Solve for x
    x = 1,146,645.85/1,487.65
  6. Step 6: Final answer
    x = 770.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.