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Finding the Fourth Proportional to 863.50, 1,292.01 and 537.34

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Solution

The fourth proportional to 863.50, 1,292.01 and 537.34 is: 803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.50 : 1,292.01 = 537.34 : x
  2. Step 2: Convert to fraction form
    863.50/1,292.01 = 537.34/x
  3. Step 3: Cross multiply
    863.50x = 1,292.01 × 537.34
  4. Step 4: Simplify right side
    863.50x = 694,248.65
  5. Step 5: Solve for x
    x = 694,248.65/863.50
  6. Step 6: Final answer
    x = 803.99

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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.