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Finding the Fourth Proportional to 917.97, 1,375.76 and 800.25

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Solution

The fourth proportional to 917.97, 1,375.76 and 800.25 is: 1,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.97 : 1,375.76 = 800.25 : x
  2. Step 2: Convert to fraction form
    917.97/1,375.76 = 800.25/x
  3. Step 3: Cross multiply
    917.97x = 1,375.76 × 800.25
  4. Step 4: Simplify right side
    917.97x = 1,100,947.94
  5. Step 5: Solve for x
    x = 1,100,947.94/917.97
  6. Step 6: Final answer
    x = 1,199.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.