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Finding the Fourth Proportional to 1,239.50, 1,711.02 and 797.55

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Solution

The fourth proportional to 1,239.50, 1,711.02 and 797.55 is: 1,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.50 : 1,711.02 = 797.55 : x
  2. Step 2: Convert to fraction form
    1,239.50/1,711.02 = 797.55/x
  3. Step 3: Cross multiply
    1,239.50x = 1,711.02 × 797.55
  4. Step 4: Simplify right side
    1,239.50x = 1,364,620.58
  5. Step 5: Solve for x
    x = 1,364,620.58/1,239.50
  6. Step 6: Final answer
    x = 1,100.94

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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.