Home / 1,377.20-2,067.63-822.93

Finding the Fourth Proportional to 1,377.20, 2,067.63 and 822.93

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Solution

The fourth proportional to 1,377.20, 2,067.63 and 822.93 is: 1,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.20 : 2,067.63 = 822.93 : x
  2. Step 2: Convert to fraction form
    1,377.20/2,067.63 = 822.93/x
  3. Step 3: Cross multiply
    1,377.20x = 2,067.63 × 822.93
  4. Step 4: Simplify right side
    1,377.20x = 1,701,521.36
  5. Step 5: Solve for x
    x = 1,701,521.36/1,377.20
  6. Step 6: Final answer
    x = 1,235.49

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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.