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Finding the Fourth Proportional to 997.11, 1,376.10 and 604.35

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Solution

The fourth proportional to 997.11, 1,376.10 and 604.35 is: 834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.11 : 1,376.10 = 604.35 : x
  2. Step 2: Convert to fraction form
    997.11/1,376.10 = 604.35/x
  3. Step 3: Cross multiply
    997.11x = 1,376.10 × 604.35
  4. Step 4: Simplify right side
    997.11x = 831,646.04
  5. Step 5: Solve for x
    x = 831,646.04/997.11
  6. Step 6: Final answer
    x = 834.06

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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.