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Finding the Fourth Proportional to 997.64, 1,376.18 and 629

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Solution

The fourth proportional to 997.64, 1,376.18 and 629 is: 867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.64 : 1,376.18 = 629 : x
  2. Step 2: Convert to fraction form
    997.64/1,376.18 = 629/x
  3. Step 3: Cross multiply
    997.64x = 1,376.18 × 629
  4. Step 4: Simplify right side
    997.64x = 865,617.22
  5. Step 5: Solve for x
    x = 865,617.22/997.64
  6. Step 6: Final answer
    x = 867.66

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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.