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Finding the Fourth Proportional to 1,487.54, 2,231.85 and 513.74

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Solution

The fourth proportional to 1,487.54, 2,231.85 and 513.74 is: 770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.54 : 2,231.85 = 513.74 : x
  2. Step 2: Convert to fraction form
    1,487.54/2,231.85 = 513.74/x
  3. Step 3: Cross multiply
    1,487.54x = 2,231.85 × 513.74
  4. Step 4: Simplify right side
    1,487.54x = 1,146,590.62
  5. Step 5: Solve for x
    x = 1,146,590.62/1,487.54
  6. Step 6: Final answer
    x = 770.80

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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.