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Finding the Fourth Proportional to 721.41, 995.91 and 509.04

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Solution

The fourth proportional to 721.41, 995.91 and 509.04 is: 702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.41 : 995.91 = 509.04 : x
  2. Step 2: Convert to fraction form
    721.41/995.91 = 509.04/x
  3. Step 3: Cross multiply
    721.41x = 995.91 × 509.04
  4. Step 4: Simplify right side
    721.41x = 506,958.03
  5. Step 5: Solve for x
    x = 506,958.03/721.41
  6. Step 6: Final answer
    x = 702.73

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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.