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Finding the Fourth Proportional to 713.85, 984.39 and 514.59

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Solution

The fourth proportional to 713.85, 984.39 and 514.59 is: 709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 984.39 = 514.59 : x
  2. Step 2: Convert to fraction form
    713.85/984.39 = 514.59/x
  3. Step 3: Cross multiply
    713.85x = 984.39 × 514.59
  4. Step 4: Simplify right side
    713.85x = 506,557.25
  5. Step 5: Solve for x
    x = 506,557.25/713.85
  6. Step 6: Final answer
    x = 709.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.