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Finding the Fourth Proportional to 961.62, 1,326.81 and 588.47

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Solution

The fourth proportional to 961.62, 1,326.81 and 588.47 is: 811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.62 : 1,326.81 = 588.47 : x
  2. Step 2: Convert to fraction form
    961.62/1,326.81 = 588.47/x
  3. Step 3: Cross multiply
    961.62x = 1,326.81 × 588.47
  4. Step 4: Simplify right side
    961.62x = 780,781.25
  5. Step 5: Solve for x
    x = 780,781.25/961.62
  6. Step 6: Final answer
    x = 811.94

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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.