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Finding the Fourth Proportional to 696.04, 1,044.21 and 263.20

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Solution

The fourth proportional to 696.04, 1,044.21 and 263.20 is: 394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.04 : 1,044.21 = 263.20 : x
  2. Step 2: Convert to fraction form
    696.04/1,044.21 = 263.20/x
  3. Step 3: Cross multiply
    696.04x = 1,044.21 × 263.20
  4. Step 4: Simplify right side
    696.04x = 274,836.07
  5. Step 5: Solve for x
    x = 274,836.07/696.04
  6. Step 6: Final answer
    x = 394.86

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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.