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Finding the Fourth Proportional to 1,016.50, 1,524.75 and 247

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Solution

The fourth proportional to 1,016.50, 1,524.75 and 247 is: 370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.50 : 1,524.75 = 247 : x
  2. Step 2: Convert to fraction form
    1,016.50/1,524.75 = 247/x
  3. Step 3: Cross multiply
    1,016.50x = 1,524.75 × 247
  4. Step 4: Simplify right side
    1,016.50x = 376,613.25
  5. Step 5: Solve for x
    x = 376,613.25/1,016.50
  6. Step 6: Final answer
    x = 370.50

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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.