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Finding the Fourth Proportional to 694.18, 1,040.34 and 282.82

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Solution

The fourth proportional to 694.18, 1,040.34 and 282.82 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.18 : 1,040.34 = 282.82 : x
  2. Step 2: Convert to fraction form
    694.18/1,040.34 = 282.82/x
  3. Step 3: Cross multiply
    694.18x = 1,040.34 × 282.82
  4. Step 4: Simplify right side
    694.18x = 294,228.96
  5. Step 5: Solve for x
    x = 294,228.96/694.18
  6. Step 6: Final answer
    x = 423.85

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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.