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Finding the Fourth Proportional to 1,067.00, 1,471.56 and 693.80

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Solution

The fourth proportional to 1,067.00, 1,471.56 and 693.80 is: 956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.00 : 1,471.56 = 693.80 : x
  2. Step 2: Convert to fraction form
    1,067.00/1,471.56 = 693.80/x
  3. Step 3: Cross multiply
    1,067.00x = 1,471.56 × 693.80
  4. Step 4: Simplify right side
    1,067.00x = 1,020,960.97
  5. Step 5: Solve for x
    x = 1,020,960.97/1,067.00
  6. Step 6: Final answer
    x = 956.86

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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.