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Finding the Fourth Proportional to 997.18, 1,371.54 and 800.26

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Solution

The fourth proportional to 997.18, 1,371.54 and 800.26 is: 1,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.18 : 1,371.54 = 800.26 : x
  2. Step 2: Convert to fraction form
    997.18/1,371.54 = 800.26/x
  3. Step 3: Cross multiply
    997.18x = 1,371.54 × 800.26
  4. Step 4: Simplify right side
    997.18x = 1,097,588.60
  5. Step 5: Solve for x
    x = 1,097,588.60/997.18
  6. Step 6: Final answer
    x = 1,100.69

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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.