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Finding the Fourth Proportional to 997.84, 1,376.72 and 957.36

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Solution

The fourth proportional to 997.84, 1,376.72 and 957.36 is: 1,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.84 : 1,376.72 = 957.36 : x
  2. Step 2: Convert to fraction form
    997.84/1,376.72 = 957.36/x
  3. Step 3: Cross multiply
    997.84x = 1,376.72 × 957.36
  4. Step 4: Simplify right side
    997.84x = 1,318,016.66
  5. Step 5: Solve for x
    x = 1,318,016.66/997.84
  6. Step 6: Final answer
    x = 1,320.87

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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.