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Finding the Fourth Proportional to 997.18, 1,374.14 and 839.82

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Solution

The fourth proportional to 997.18, 1,374.14 and 839.82 is: 1,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.18 : 1,374.14 = 839.82 : x
  2. Step 2: Convert to fraction form
    997.18/1,374.14 = 839.82/x
  3. Step 3: Cross multiply
    997.18x = 1,374.14 × 839.82
  4. Step 4: Simplify right side
    997.18x = 1,154,030.25
  5. Step 5: Solve for x
    x = 1,154,030.25/997.18
  6. Step 6: Final answer
    x = 1,157.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.