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Finding the Fourth Proportional to 997.12, 1,375.77 and 604

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Solution

The fourth proportional to 997.12, 1,375.77 and 604 is: 833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.12 : 1,375.77 = 604 : x
  2. Step 2: Convert to fraction form
    997.12/1,375.77 = 604/x
  3. Step 3: Cross multiply
    997.12x = 1,375.77 × 604
  4. Step 4: Simplify right side
    997.12x = 830,965.08
  5. Step 5: Solve for x
    x = 830,965.08/997.12
  6. Step 6: Final answer
    x = 833.37

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