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Finding the Fourth Proportional to 1,067.04, 1,470.96 and 833.76

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Solution

The fourth proportional to 1,067.04, 1,470.96 and 833.76 is: 1,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.04 : 1,470.96 = 833.76 : x
  2. Step 2: Convert to fraction form
    1,067.04/1,470.96 = 833.76/x
  3. Step 3: Cross multiply
    1,067.04x = 1,470.96 × 833.76
  4. Step 4: Simplify right side
    1,067.04x = 1,226,427.61
  5. Step 5: Solve for x
    x = 1,226,427.61/1,067.04
  6. Step 6: Final answer
    x = 1,149.37

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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.