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Finding the Fourth Proportional to 696.26, 1,044.39 and 257.72

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Solution

The fourth proportional to 696.26, 1,044.39 and 257.72 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.26 : 1,044.39 = 257.72 : x
  2. Step 2: Convert to fraction form
    696.26/1,044.39 = 257.72/x
  3. Step 3: Cross multiply
    696.26x = 1,044.39 × 257.72
  4. Step 4: Simplify right side
    696.26x = 269,155.94
  5. Step 5: Solve for x
    x = 269,155.94/696.26
  6. Step 6: Final answer
    x = 386.57

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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.