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Finding the Fourth Proportional to 694.10, 1,040.24 and 282.75

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Solution

The fourth proportional to 694.10, 1,040.24 and 282.75 is: 423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.10 : 1,040.24 = 282.75 : x
  2. Step 2: Convert to fraction form
    694.10/1,040.24 = 282.75/x
  3. Step 3: Cross multiply
    694.10x = 1,040.24 × 282.75
  4. Step 4: Simplify right side
    694.10x = 294,127.86
  5. Step 5: Solve for x
    x = 294,127.86/694.10
  6. Step 6: Final answer
    x = 423.75

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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.