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Finding the Fourth Proportional to 696.65, 1,044.36 and 263.52

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Solution

The fourth proportional to 696.65, 1,044.36 and 263.52 is: 395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.65 : 1,044.36 = 263.52 : x
  2. Step 2: Convert to fraction form
    696.65/1,044.36 = 263.52/x
  3. Step 3: Cross multiply
    696.65x = 1,044.36 × 263.52
  4. Step 4: Simplify right side
    696.65x = 275,213.02
  5. Step 5: Solve for x
    x = 275,213.02/696.65
  6. Step 6: Final answer
    x = 395.05

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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.