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Finding the Fourth Proportional to 997.28, 1,376.12 and 647.96

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Solution

The fourth proportional to 997.28, 1,376.12 and 647.96 is: 894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.28 : 1,376.12 = 647.96 : x
  2. Step 2: Convert to fraction form
    997.28/1,376.12 = 647.96/x
  3. Step 3: Cross multiply
    997.28x = 1,376.12 × 647.96
  4. Step 4: Simplify right side
    997.28x = 891,670.72
  5. Step 5: Solve for x
    x = 891,670.72/997.28
  6. Step 6: Final answer
    x = 894.10

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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.