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Finding the Fourth Proportional to 721.08, 995.22 and 565.56

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Solution

The fourth proportional to 721.08, 995.22 and 565.56 is: 780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.08 : 995.22 = 565.56 : x
  2. Step 2: Convert to fraction form
    721.08/995.22 = 565.56/x
  3. Step 3: Cross multiply
    721.08x = 995.22 × 565.56
  4. Step 4: Simplify right side
    721.08x = 562,856.62
  5. Step 5: Solve for x
    x = 562,856.62/721.08
  6. Step 6: Final answer
    x = 780.57

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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.