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Finding the Fourth Proportional to 696.84, 1,044.73 and 422.86

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Solution

The fourth proportional to 696.84, 1,044.73 and 422.86 is: 633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.84 : 1,044.73 = 422.86 : x
  2. Step 2: Convert to fraction form
    696.84/1,044.73 = 422.86/x
  3. Step 3: Cross multiply
    696.84x = 1,044.73 × 422.86
  4. Step 4: Simplify right side
    696.84x = 441,774.53
  5. Step 5: Solve for x
    x = 441,774.53/696.84
  6. Step 6: Final answer
    x = 633.97

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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.