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Finding the Fourth Proportional to 723.64, 1,084.65 and 398.56

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Solution

The fourth proportional to 723.64, 1,084.65 and 398.56 is: 597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 1,084.65 = 398.56 : x
  2. Step 2: Convert to fraction form
    723.64/1,084.65 = 398.56/x
  3. Step 3: Cross multiply
    723.64x = 1,084.65 × 398.56
  4. Step 4: Simplify right side
    723.64x = 432,298.10
  5. Step 5: Solve for x
    x = 432,298.10/723.64
  6. Step 6: Final answer
    x = 597.39

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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.