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Finding the Fourth Proportional to 691.22, 1,036.07 and 326.22

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Solution

The fourth proportional to 691.22, 1,036.07 and 326.22 is: 488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.22 : 1,036.07 = 326.22 : x
  2. Step 2: Convert to fraction form
    691.22/1,036.07 = 326.22/x
  3. Step 3: Cross multiply
    691.22x = 1,036.07 × 326.22
  4. Step 4: Simplify right side
    691.22x = 337,986.76
  5. Step 5: Solve for x
    x = 337,986.76/691.22
  6. Step 6: Final answer
    x = 488.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.