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Finding the Fourth Proportional to 724.17, 1,085.43 and 290.82

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Solution

The fourth proportional to 724.17, 1,085.43 and 290.82 is: 435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.17 : 1,085.43 = 290.82 : x
  2. Step 2: Convert to fraction form
    724.17/1,085.43 = 290.82/x
  3. Step 3: Cross multiply
    724.17x = 1,085.43 × 290.82
  4. Step 4: Simplify right side
    724.17x = 315,664.75
  5. Step 5: Solve for x
    x = 315,664.75/724.17
  6. Step 6: Final answer
    x = 435.90

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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.