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Finding the Fourth Proportional to 997.50, 1,377.36 and 718.32

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Solution

The fourth proportional to 997.50, 1,377.36 and 718.32 is: 991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.50 : 1,377.36 = 718.32 : x
  2. Step 2: Convert to fraction form
    997.50/1,377.36 = 718.32/x
  3. Step 3: Cross multiply
    997.50x = 1,377.36 × 718.32
  4. Step 4: Simplify right side
    997.50x = 989,385.24
  5. Step 5: Solve for x
    x = 989,385.24/997.50
  6. Step 6: Final answer
    x = 991.86

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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.