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Finding the Fourth Proportional to 961.07, 1,326.17 and 698.63

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Solution

The fourth proportional to 961.07, 1,326.17 and 698.63 is: 964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.07 : 1,326.17 = 698.63 : x
  2. Step 2: Convert to fraction form
    961.07/1,326.17 = 698.63/x
  3. Step 3: Cross multiply
    961.07x = 1,326.17 × 698.63
  4. Step 4: Simplify right side
    961.07x = 926,497.26
  5. Step 5: Solve for x
    x = 926,497.26/961.07
  6. Step 6: Final answer
    x = 964.03

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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.