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Finding the Fourth Proportional to 724.25, 1,086.53 and 237.35

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Solution

The fourth proportional to 724.25, 1,086.53 and 237.35 is: 356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.25 : 1,086.53 = 237.35 : x
  2. Step 2: Convert to fraction form
    724.25/1,086.53 = 237.35/x
  3. Step 3: Cross multiply
    724.25x = 1,086.53 × 237.35
  4. Step 4: Simplify right side
    724.25x = 257,881.28
  5. Step 5: Solve for x
    x = 257,881.28/724.25
  6. Step 6: Final answer
    x = 356.07

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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.