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Finding the Fourth Proportional to 723.98, 1,084.34 and 398.64

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Solution

The fourth proportional to 723.98, 1,084.34 and 398.64 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.98 : 1,084.34 = 398.64 : x
  2. Step 2: Convert to fraction form
    723.98/1,084.34 = 398.64/x
  3. Step 3: Cross multiply
    723.98x = 1,084.34 × 398.64
  4. Step 4: Simplify right side
    723.98x = 432,261.30
  5. Step 5: Solve for x
    x = 432,261.30/723.98
  6. Step 6: Final answer
    x = 597.06

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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.