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Finding the Fourth Proportional to 709.30, 1,063.61 and 247.07

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Solution

The fourth proportional to 709.30, 1,063.61 and 247.07 is: 370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.30 : 1,063.61 = 247.07 : x
  2. Step 2: Convert to fraction form
    709.30/1,063.61 = 247.07/x
  3. Step 3: Cross multiply
    709.30x = 1,063.61 × 247.07
  4. Step 4: Simplify right side
    709.30x = 262,788.52
  5. Step 5: Solve for x
    x = 262,788.52/709.30
  6. Step 6: Final answer
    x = 370.49

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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.