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Finding the Fourth Proportional to 792.32, 1,187.96 and 402.20

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Solution

The fourth proportional to 792.32, 1,187.96 and 402.20 is: 603.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,187.96 = 402.20 : x
  2. Step 2: Convert to fraction form
    792.32/1,187.96 = 402.20/x
  3. Step 3: Cross multiply
    792.32x = 1,187.96 × 402.20
  4. Step 4: Simplify right side
    792.32x = 477,797.51
  5. Step 5: Solve for x
    x = 477,797.51/792.32
  6. Step 6: Final answer
    x = 603.04

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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.