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Finding the Fourth Proportional to 709.13, 1,063.43 and 246.78

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Solution

The fourth proportional to 709.13, 1,063.43 and 246.78 is: 370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.13 : 1,063.43 = 246.78 : x
  2. Step 2: Convert to fraction form
    709.13/1,063.43 = 246.78/x
  3. Step 3: Cross multiply
    709.13x = 1,063.43 × 246.78
  4. Step 4: Simplify right side
    709.13x = 262,433.26
  5. Step 5: Solve for x
    x = 262,433.26/709.13
  6. Step 6: Final answer
    x = 370.08

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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.