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Finding the Fourth Proportional to 1,228, 1,694.64 and 704.17

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Solution

The fourth proportional to 1,228, 1,694.64 and 704.17 is: 971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228 : 1,694.64 = 704.17 : x
  2. Step 2: Convert to fraction form
    1,228/1,694.64 = 704.17/x
  3. Step 3: Cross multiply
    1,228x = 1,694.64 × 704.17
  4. Step 4: Simplify right side
    1,228x = 1,193,314.65
  5. Step 5: Solve for x
    x = 1,193,314.65/1,228
  6. Step 6: Final answer
    x = 971.75

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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.