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Finding the Fourth Proportional to 1,015.73, 1,524.15 and 495.73

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Solution

The fourth proportional to 1,015.73, 1,524.15 and 495.73 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.73 : 1,524.15 = 495.73 : x
  2. Step 2: Convert to fraction form
    1,015.73/1,524.15 = 495.73/x
  3. Step 3: Cross multiply
    1,015.73x = 1,524.15 × 495.73
  4. Step 4: Simplify right side
    1,015.73x = 755,570.18
  5. Step 5: Solve for x
    x = 755,570.18/1,015.73
  6. Step 6: Final answer
    x = 743.87

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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.