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Finding the Fourth Proportional to 721.51, 995.76 and 426.88

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Solution

The fourth proportional to 721.51, 995.76 and 426.88 is: 589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.51 : 995.76 = 426.88 : x
  2. Step 2: Convert to fraction form
    721.51/995.76 = 426.88/x
  3. Step 3: Cross multiply
    721.51x = 995.76 × 426.88
  4. Step 4: Simplify right side
    721.51x = 425,070.03
  5. Step 5: Solve for x
    x = 425,070.03/721.51
  6. Step 6: Final answer
    x = 589.14

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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.