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Finding the Fourth Proportional to 1,067.15, 1,472.23 and 771.77

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Solution

The fourth proportional to 1,067.15, 1,472.23 and 771.77 is: 1,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.15 : 1,472.23 = 771.77 : x
  2. Step 2: Convert to fraction form
    1,067.15/1,472.23 = 771.77/x
  3. Step 3: Cross multiply
    1,067.15x = 1,472.23 × 771.77
  4. Step 4: Simplify right side
    1,067.15x = 1,136,222.95
  5. Step 5: Solve for x
    x = 1,136,222.95/1,067.15
  6. Step 6: Final answer
    x = 1,064.73

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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.