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Finding the Fourth Proportional to 1,226.97, 1,693.70 and 785.12

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Solution

The fourth proportional to 1,226.97, 1,693.70 and 785.12 is: 1,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.97 : 1,693.70 = 785.12 : x
  2. Step 2: Convert to fraction form
    1,226.97/1,693.70 = 785.12/x
  3. Step 3: Cross multiply
    1,226.97x = 1,693.70 × 785.12
  4. Step 4: Simplify right side
    1,226.97x = 1,329,745.35
  5. Step 5: Solve for x
    x = 1,329,745.35/1,226.97
  6. Step 6: Final answer
    x = 1,083.76

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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.