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Finding the Fourth Proportional to 696.90, 1,046.12 and 404.73

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Solution

The fourth proportional to 696.90, 1,046.12 and 404.73 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.90 : 1,046.12 = 404.73 : x
  2. Step 2: Convert to fraction form
    696.90/1,046.12 = 404.73/x
  3. Step 3: Cross multiply
    696.90x = 1,046.12 × 404.73
  4. Step 4: Simplify right side
    696.90x = 423,394.12
  5. Step 5: Solve for x
    x = 423,394.12/696.90
  6. Step 6: Final answer
    x = 607.54

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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.