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Finding the Fourth Proportional to 1,216.19, 1,677.85 and 773.93

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Solution

The fourth proportional to 1,216.19, 1,677.85 and 773.93 is: 1,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.19 : 1,677.85 = 773.93 : x
  2. Step 2: Convert to fraction form
    1,216.19/1,677.85 = 773.93/x
  3. Step 3: Cross multiply
    1,216.19x = 1,677.85 × 773.93
  4. Step 4: Simplify right side
    1,216.19x = 1,298,540.71
  5. Step 5: Solve for x
    x = 1,298,540.71/1,216.19
  6. Step 6: Final answer
    x = 1,067.71

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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.