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Finding the Fourth Proportional to 1,067.06, 1,470.93 and 833.78

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Solution

The fourth proportional to 1,067.06, 1,470.93 and 833.78 is: 1,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.06 : 1,470.93 = 833.78 : x
  2. Step 2: Convert to fraction form
    1,067.06/1,470.93 = 833.78/x
  3. Step 3: Cross multiply
    1,067.06x = 1,470.93 × 833.78
  4. Step 4: Simplify right side
    1,067.06x = 1,226,432.02
  5. Step 5: Solve for x
    x = 1,226,432.02/1,067.06
  6. Step 6: Final answer
    x = 1,149.36

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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.