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Finding the Fourth Proportional to 792.24, 1,188.15 and 532.09

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Solution

The fourth proportional to 792.24, 1,188.15 and 532.09 is: 797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.24 : 1,188.15 = 532.09 : x
  2. Step 2: Convert to fraction form
    792.24/1,188.15 = 532.09/x
  3. Step 3: Cross multiply
    792.24x = 1,188.15 × 532.09
  4. Step 4: Simplify right side
    792.24x = 632,202.73
  5. Step 5: Solve for x
    x = 632,202.73/792.24
  6. Step 6: Final answer
    x = 797.99

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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.