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Finding the Fourth Proportional to 724.67, 1,087.35 and 450.68

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Solution

The fourth proportional to 724.67, 1,087.35 and 450.68 is: 676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.67 : 1,087.35 = 450.68 : x
  2. Step 2: Convert to fraction form
    724.67/1,087.35 = 450.68/x
  3. Step 3: Cross multiply
    724.67x = 1,087.35 × 450.68
  4. Step 4: Simplify right side
    724.67x = 490,041.46
  5. Step 5: Solve for x
    x = 490,041.46/724.67
  6. Step 6: Final answer
    x = 676.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.