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Finding the Fourth Proportional to 694.92, 1,040.52 and 510.24

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Solution

The fourth proportional to 694.92, 1,040.52 and 510.24 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.92 : 1,040.52 = 510.24 : x
  2. Step 2: Convert to fraction form
    694.92/1,040.52 = 510.24/x
  3. Step 3: Cross multiply
    694.92x = 1,040.52 × 510.24
  4. Step 4: Simplify right side
    694.92x = 530,914.92
  5. Step 5: Solve for x
    x = 530,914.92/694.92
  6. Step 6: Final answer
    x = 763.99

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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.