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Finding the Fourth Proportional to 921.80, 1,273.38 and 817.04

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Solution

The fourth proportional to 921.80, 1,273.38 and 817.04 is: 1,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.80 : 1,273.38 = 817.04 : x
  2. Step 2: Convert to fraction form
    921.80/1,273.38 = 817.04/x
  3. Step 3: Cross multiply
    921.80x = 1,273.38 × 817.04
  4. Step 4: Simplify right side
    921.80x = 1,040,402.40
  5. Step 5: Solve for x
    x = 1,040,402.40/921.80
  6. Step 6: Final answer
    x = 1,128.66

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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.