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Finding the Fourth Proportional to 709.19, 1,063.41 and 416.78

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Solution

The fourth proportional to 709.19, 1,063.41 and 416.78 is: 624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.19 : 1,063.41 = 416.78 : x
  2. Step 2: Convert to fraction form
    709.19/1,063.41 = 416.78/x
  3. Step 3: Cross multiply
    709.19x = 1,063.41 × 416.78
  4. Step 4: Simplify right side
    709.19x = 443,207.47
  5. Step 5: Solve for x
    x = 443,207.47/709.19
  6. Step 6: Final answer
    x = 624.95

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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.