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Finding the Fourth Proportional to 725.13, 999.59 and 514.67

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Solution

The fourth proportional to 725.13, 999.59 and 514.67 is: 709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.13 : 999.59 = 514.67 : x
  2. Step 2: Convert to fraction form
    725.13/999.59 = 514.67/x
  3. Step 3: Cross multiply
    725.13x = 999.59 × 514.67
  4. Step 4: Simplify right side
    725.13x = 514,451.41
  5. Step 5: Solve for x
    x = 514,451.41/725.13
  6. Step 6: Final answer
    x = 709.46

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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.