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Finding the Fourth Proportional to 1,367.93, 1,887.67 and 778.45

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Solution

The fourth proportional to 1,367.93, 1,887.67 and 778.45 is: 1,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.93 : 1,887.67 = 778.45 : x
  2. Step 2: Convert to fraction form
    1,367.93/1,887.67 = 778.45/x
  3. Step 3: Cross multiply
    1,367.93x = 1,887.67 × 778.45
  4. Step 4: Simplify right side
    1,367.93x = 1,469,460.04
  5. Step 5: Solve for x
    x = 1,469,460.04/1,367.93
  6. Step 6: Final answer
    x = 1,074.22

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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.