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Finding the Fourth Proportional to 696.07, 1,044.30 and 263.14

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Solution

The fourth proportional to 696.07, 1,044.30 and 263.14 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.07 : 1,044.30 = 263.14 : x
  2. Step 2: Convert to fraction form
    696.07/1,044.30 = 263.14/x
  3. Step 3: Cross multiply
    696.07x = 1,044.30 × 263.14
  4. Step 4: Simplify right side
    696.07x = 274,797.10
  5. Step 5: Solve for x
    x = 274,797.10/696.07
  6. Step 6: Final answer
    x = 394.78

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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.