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Finding the Fourth Proportional to 792.91, 1,188.92 and 292.37

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Solution

The fourth proportional to 792.91, 1,188.92 and 292.37 is: 438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.91 : 1,188.92 = 292.37 : x
  2. Step 2: Convert to fraction form
    792.91/1,188.92 = 292.37/x
  3. Step 3: Cross multiply
    792.91x = 1,188.92 × 292.37
  4. Step 4: Simplify right side
    792.91x = 347,606.01
  5. Step 5: Solve for x
    x = 347,606.01/792.91
  6. Step 6: Final answer
    x = 438.40

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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.