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Finding the Fourth Proportional to 694.76, 1,042.02 and 255.96

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Solution

The fourth proportional to 694.76, 1,042.02 and 255.96 is: 383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.76 : 1,042.02 = 255.96 : x
  2. Step 2: Convert to fraction form
    694.76/1,042.02 = 255.96/x
  3. Step 3: Cross multiply
    694.76x = 1,042.02 × 255.96
  4. Step 4: Simplify right side
    694.76x = 266,715.44
  5. Step 5: Solve for x
    x = 266,715.44/694.76
  6. Step 6: Final answer
    x = 383.90

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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.