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Finding the Fourth Proportional to 724.57, 1,086.39 and 353.63

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Solution

The fourth proportional to 724.57, 1,086.39 and 353.63 is: 530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.57 : 1,086.39 = 353.63 : x
  2. Step 2: Convert to fraction form
    724.57/1,086.39 = 353.63/x
  3. Step 3: Cross multiply
    724.57x = 1,086.39 × 353.63
  4. Step 4: Simplify right side
    724.57x = 384,182.81
  5. Step 5: Solve for x
    x = 384,182.81/724.57
  6. Step 6: Final answer
    x = 530.22

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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.