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Finding the Fourth Proportional to 721.88, 995.24 and 523

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Solution

The fourth proportional to 721.88, 995.24 and 523 is: 721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.88 : 995.24 = 523 : x
  2. Step 2: Convert to fraction form
    721.88/995.24 = 523/x
  3. Step 3: Cross multiply
    721.88x = 995.24 × 523
  4. Step 4: Simplify right side
    721.88x = 520,510.52
  5. Step 5: Solve for x
    x = 520,510.52/721.88
  6. Step 6: Final answer
    x = 721.05

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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.