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Finding the Fourth Proportional to 694.31, 1,040.66 and 282.98

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Solution

The fourth proportional to 694.31, 1,040.66 and 282.98 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.31 : 1,040.66 = 282.98 : x
  2. Step 2: Convert to fraction form
    694.31/1,040.66 = 282.98/x
  3. Step 3: Cross multiply
    694.31x = 1,040.66 × 282.98
  4. Step 4: Simplify right side
    694.31x = 294,487.15
  5. Step 5: Solve for x
    x = 294,487.15/694.31
  6. Step 6: Final answer
    x = 424.14

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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.