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Finding the Fourth Proportional to 709.66, 1,064.69 and 514.85

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Solution

The fourth proportional to 709.66, 1,064.69 and 514.85 is: 772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.66 : 1,064.69 = 514.85 : x
  2. Step 2: Convert to fraction form
    709.66/1,064.69 = 514.85/x
  3. Step 3: Cross multiply
    709.66x = 1,064.69 × 514.85
  4. Step 4: Simplify right side
    709.66x = 548,159.60
  5. Step 5: Solve for x
    x = 548,159.60/709.66
  6. Step 6: Final answer
    x = 772.43

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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.