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Finding the Fourth Proportional to 1,067.76, 1,471.04 and 846.64

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Solution

The fourth proportional to 1,067.76, 1,471.04 and 846.64 is: 1,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.76 : 1,471.04 = 846.64 : x
  2. Step 2: Convert to fraction form
    1,067.76/1,471.04 = 846.64/x
  3. Step 3: Cross multiply
    1,067.76x = 1,471.04 × 846.64
  4. Step 4: Simplify right side
    1,067.76x = 1,245,441.31
  5. Step 5: Solve for x
    x = 1,245,441.31/1,067.76
  6. Step 6: Final answer
    x = 1,166.41

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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.