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Finding the Fourth Proportional to 997.08, 1,376.46 and 765.24

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Solution

The fourth proportional to 997.08, 1,376.46 and 765.24 is: 1,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.08 : 1,376.46 = 765.24 : x
  2. Step 2: Convert to fraction form
    997.08/1,376.46 = 765.24/x
  3. Step 3: Cross multiply
    997.08x = 1,376.46 × 765.24
  4. Step 4: Simplify right side
    997.08x = 1,053,322.25
  5. Step 5: Solve for x
    x = 1,053,322.25/997.08
  6. Step 6: Final answer
    x = 1,056.41

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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.