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Finding the Fourth Proportional to 696.06, 1,043.87 and 330.84

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Solution

The fourth proportional to 696.06, 1,043.87 and 330.84 is: 496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.06 : 1,043.87 = 330.84 : x
  2. Step 2: Convert to fraction form
    696.06/1,043.87 = 330.84/x
  3. Step 3: Cross multiply
    696.06x = 1,043.87 × 330.84
  4. Step 4: Simplify right side
    696.06x = 345,352.30
  5. Step 5: Solve for x
    x = 345,352.30/696.06
  6. Step 6: Final answer
    x = 496.15

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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.