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Finding the Fourth Proportional to 1,274.69, 1,759.78 and 803.19

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Solution

The fourth proportional to 1,274.69, 1,759.78 and 803.19 is: 1,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.69 : 1,759.78 = 803.19 : x
  2. Step 2: Convert to fraction form
    1,274.69/1,759.78 = 803.19/x
  3. Step 3: Cross multiply
    1,274.69x = 1,759.78 × 803.19
  4. Step 4: Simplify right side
    1,274.69x = 1,413,435.83
  5. Step 5: Solve for x
    x = 1,413,435.83/1,274.69
  6. Step 6: Final answer
    x = 1,108.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.