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Finding the Fourth Proportional to 983.76, 1,475.17 and 398.30

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Solution

The fourth proportional to 983.76, 1,475.17 and 398.30 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.76 : 1,475.17 = 398.30 : x
  2. Step 2: Convert to fraction form
    983.76/1,475.17 = 398.30/x
  3. Step 3: Cross multiply
    983.76x = 1,475.17 × 398.30
  4. Step 4: Simplify right side
    983.76x = 587,560.21
  5. Step 5: Solve for x
    x = 587,560.21/983.76
  6. Step 6: Final answer
    x = 597.26

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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.