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Finding the Fourth Proportional to 1,807.39, 2,708.97 and 767.05

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Solution

The fourth proportional to 1,807.39, 2,708.97 and 767.05 is: 1,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.39 : 2,708.97 = 767.05 : x
  2. Step 2: Convert to fraction form
    1,807.39/2,708.97 = 767.05/x
  3. Step 3: Cross multiply
    1,807.39x = 2,708.97 × 767.05
  4. Step 4: Simplify right side
    1,807.39x = 2,077,915.44
  5. Step 5: Solve for x
    x = 2,077,915.44/1,807.39
  6. Step 6: Final answer
    x = 1,149.68

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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.