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Finding the Fourth Proportional to 1,275, 1,759.80 and 778.05

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Solution

The fourth proportional to 1,275, 1,759.80 and 778.05 is: 1,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275 : 1,759.80 = 778.05 : x
  2. Step 2: Convert to fraction form
    1,275/1,759.80 = 778.05/x
  3. Step 3: Cross multiply
    1,275x = 1,759.80 × 778.05
  4. Step 4: Simplify right side
    1,275x = 1,369,212.39
  5. Step 5: Solve for x
    x = 1,369,212.39/1,275
  6. Step 6: Final answer
    x = 1,073.89

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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.