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Finding the Fourth Proportional to 723.94, 999.34 and 514.15

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Solution

The fourth proportional to 723.94, 999.34 and 514.15 is: 709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 999.34 = 514.15 : x
  2. Step 2: Convert to fraction form
    723.94/999.34 = 514.15/x
  3. Step 3: Cross multiply
    723.94x = 999.34 × 514.15
  4. Step 4: Simplify right side
    723.94x = 513,806.88
  5. Step 5: Solve for x
    x = 513,806.88/723.94
  6. Step 6: Final answer
    x = 709.74

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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.