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Finding the Fourth Proportional to 723.74, 1,084.89 and 460.32

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Solution

The fourth proportional to 723.74, 1,084.89 and 460.32 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.74 : 1,084.89 = 460.32 : x
  2. Step 2: Convert to fraction form
    723.74/1,084.89 = 460.32/x
  3. Step 3: Cross multiply
    723.74x = 1,084.89 × 460.32
  4. Step 4: Simplify right side
    723.74x = 499,396.56
  5. Step 5: Solve for x
    x = 499,396.56/723.74
  6. Step 6: Final answer
    x = 690.02

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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.