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Finding the Fourth Proportional to 693.73, 1,040.72 and 282.86

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Solution

The fourth proportional to 693.73, 1,040.72 and 282.86 is: 424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.73 : 1,040.72 = 282.86 : x
  2. Step 2: Convert to fraction form
    693.73/1,040.72 = 282.86/x
  3. Step 3: Cross multiply
    693.73x = 1,040.72 × 282.86
  4. Step 4: Simplify right side
    693.73x = 294,375.34
  5. Step 5: Solve for x
    x = 294,375.34/693.73
  6. Step 6: Final answer
    x = 424.34

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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.