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Finding the Fourth Proportional to 724.82, 999.81 and 676.22

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Solution

The fourth proportional to 724.82, 999.81 and 676.22 is: 932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.82 : 999.81 = 676.22 : x
  2. Step 2: Convert to fraction form
    724.82/999.81 = 676.22/x
  3. Step 3: Cross multiply
    724.82x = 999.81 × 676.22
  4. Step 4: Simplify right side
    724.82x = 676,086.52
  5. Step 5: Solve for x
    x = 676,086.52/724.82
  6. Step 6: Final answer
    x = 932.77

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1.5x scale

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.