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Finding the Fourth Proportional to 1,367.54, 1,887.42 and 778.04

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Solution

The fourth proportional to 1,367.54, 1,887.42 and 778.04 is: 1,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.54 : 1,887.42 = 778.04 : x
  2. Step 2: Convert to fraction form
    1,367.54/1,887.42 = 778.04/x
  3. Step 3: Cross multiply
    1,367.54x = 1,887.42 × 778.04
  4. Step 4: Simplify right side
    1,367.54x = 1,468,488.26
  5. Step 5: Solve for x
    x = 1,468,488.26/1,367.54
  6. Step 6: Final answer
    x = 1,073.82

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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.