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Finding the Fourth Proportional to 696.32, 1,044.88 and 257.87

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Solution

The fourth proportional to 696.32, 1,044.88 and 257.87 is: 386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 1,044.88 = 257.87 : x
  2. Step 2: Convert to fraction form
    696.32/1,044.88 = 257.87/x
  3. Step 3: Cross multiply
    696.32x = 1,044.88 × 257.87
  4. Step 4: Simplify right side
    696.32x = 269,443.21
  5. Step 5: Solve for x
    x = 269,443.21/696.32
  6. Step 6: Final answer
    x = 386.95

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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.