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Finding the Fourth Proportional to 997.12, 1,376.23 and 577.57

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Solution

The fourth proportional to 997.12, 1,376.23 and 577.57 is: 797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.12 : 1,376.23 = 577.57 : x
  2. Step 2: Convert to fraction form
    997.12/1,376.23 = 577.57/x
  3. Step 3: Cross multiply
    997.12x = 1,376.23 × 577.57
  4. Step 4: Simplify right side
    997.12x = 794,864.28
  5. Step 5: Solve for x
    x = 794,864.28/997.12
  6. Step 6: Final answer
    x = 797.16

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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.