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Finding the Fourth Proportional to 1,372.64, 2,059.17 and 398.82

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Solution

The fourth proportional to 1,372.64, 2,059.17 and 398.82 is: 598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.64 : 2,059.17 = 398.82 : x
  2. Step 2: Convert to fraction form
    1,372.64/2,059.17 = 398.82/x
  3. Step 3: Cross multiply
    1,372.64x = 2,059.17 × 398.82
  4. Step 4: Simplify right side
    1,372.64x = 821,236.19
  5. Step 5: Solve for x
    x = 821,236.19/1,372.64
  6. Step 6: Final answer
    x = 598.29

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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.