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Finding the Fourth Proportional to 997.13, 1,376.19 and 577.42

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Solution

The fourth proportional to 997.13, 1,376.19 and 577.42 is: 796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.13 : 1,376.19 = 577.42 : x
  2. Step 2: Convert to fraction form
    997.13/1,376.19 = 577.42/x
  3. Step 3: Cross multiply
    997.13x = 1,376.19 × 577.42
  4. Step 4: Simplify right side
    997.13x = 794,636.19
  5. Step 5: Solve for x
    x = 794,636.19/997.13
  6. Step 6: Final answer
    x = 796.92

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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.