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Finding the Fourth Proportional to 1,246.23, 1,718.94 and 773.62

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Solution

The fourth proportional to 1,246.23, 1,718.94 and 773.62 is: 1,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.23 : 1,718.94 = 773.62 : x
  2. Step 2: Convert to fraction form
    1,246.23/1,718.94 = 773.62/x
  3. Step 3: Cross multiply
    1,246.23x = 1,718.94 × 773.62
  4. Step 4: Simplify right side
    1,246.23x = 1,329,806.36
  5. Step 5: Solve for x
    x = 1,329,806.36/1,246.23
  6. Step 6: Final answer
    x = 1,067.06

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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.