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Finding the Fourth Proportional to 693.92, 1,040.24 and 539

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Solution

The fourth proportional to 693.92, 1,040.24 and 539 is: 808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.92 : 1,040.24 = 539 : x
  2. Step 2: Convert to fraction form
    693.92/1,040.24 = 539/x
  3. Step 3: Cross multiply
    693.92x = 1,040.24 × 539
  4. Step 4: Simplify right side
    693.92x = 560,689.36
  5. Step 5: Solve for x
    x = 560,689.36/693.92
  6. Step 6: Final answer
    x = 808.00

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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.