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Finding the Fourth Proportional to 709.97, 1,064.34 and 416.75

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Solution

The fourth proportional to 709.97, 1,064.34 and 416.75 is: 624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.97 : 1,064.34 = 416.75 : x
  2. Step 2: Convert to fraction form
    709.97/1,064.34 = 416.75/x
  3. Step 3: Cross multiply
    709.97x = 1,064.34 × 416.75
  4. Step 4: Simplify right side
    709.97x = 443,563.70
  5. Step 5: Solve for x
    x = 443,563.70/709.97
  6. Step 6: Final answer
    x = 624.76

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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.