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Finding the Fourth Proportional to 709.24, 1,063.92 and 247

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Solution

The fourth proportional to 709.24, 1,063.92 and 247 is: 370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.24 : 1,063.92 = 247 : x
  2. Step 2: Convert to fraction form
    709.24/1,063.92 = 247/x
  3. Step 3: Cross multiply
    709.24x = 1,063.92 × 247
  4. Step 4: Simplify right side
    709.24x = 262,788.24
  5. Step 5: Solve for x
    x = 262,788.24/709.24
  6. Step 6: Final answer
    x = 370.52

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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.