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Finding the Fourth Proportional to 723.20, 1,084.62 and 284.46

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Solution

The fourth proportional to 723.20, 1,084.62 and 284.46 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.20 : 1,084.62 = 284.46 : x
  2. Step 2: Convert to fraction form
    723.20/1,084.62 = 284.46/x
  3. Step 3: Cross multiply
    723.20x = 1,084.62 × 284.46
  4. Step 4: Simplify right side
    723.20x = 308,531.01
  5. Step 5: Solve for x
    x = 308,531.01/723.20
  6. Step 6: Final answer
    x = 426.62

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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.