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Finding the Fourth Proportional to 696.66, 1,043.97 and 326.58

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Solution

The fourth proportional to 696.66, 1,043.97 and 326.58 is: 489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.66 : 1,043.97 = 326.58 : x
  2. Step 2: Convert to fraction form
    696.66/1,043.97 = 326.58/x
  3. Step 3: Cross multiply
    696.66x = 1,043.97 × 326.58
  4. Step 4: Simplify right side
    696.66x = 340,939.72
  5. Step 5: Solve for x
    x = 340,939.72/696.66
  6. Step 6: Final answer
    x = 489.39

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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.