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Finding the Fourth Proportional to 723.84, 997.41 and 514.25

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Solution

The fourth proportional to 723.84, 997.41 and 514.25 is: 708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.84 : 997.41 = 514.25 : x
  2. Step 2: Convert to fraction form
    723.84/997.41 = 514.25/x
  3. Step 3: Cross multiply
    723.84x = 997.41 × 514.25
  4. Step 4: Simplify right side
    723.84x = 512,918.77
  5. Step 5: Solve for x
    x = 512,918.77/723.84
  6. Step 6: Final answer
    x = 708.61

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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.