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Finding the Fourth Proportional to 696.80, 1,043.12 and 422.06

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Solution

The fourth proportional to 696.80, 1,043.12 and 422.06 is: 631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.80 : 1,043.12 = 422.06 : x
  2. Step 2: Convert to fraction form
    696.80/1,043.12 = 422.06/x
  3. Step 3: Cross multiply
    696.80x = 1,043.12 × 422.06
  4. Step 4: Simplify right side
    696.80x = 440,259.23
  5. Step 5: Solve for x
    x = 440,259.23/696.80
  6. Step 6: Final answer
    x = 631.83

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