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Finding the Fourth Proportional to 902.59, 1,360.26 and 816.02

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Solution

The fourth proportional to 902.59, 1,360.26 and 816.02 is: 1,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.59 : 1,360.26 = 816.02 : x
  2. Step 2: Convert to fraction form
    902.59/1,360.26 = 816.02/x
  3. Step 3: Cross multiply
    902.59x = 1,360.26 × 816.02
  4. Step 4: Simplify right side
    902.59x = 1,110,001.87
  5. Step 5: Solve for x
    x = 1,110,001.87/902.59
  6. Step 6: Final answer
    x = 1,229.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.