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Finding the Fourth Proportional to 792.05, 1,188.24 and 305.24

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Solution

The fourth proportional to 792.05, 1,188.24 and 305.24 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.05 : 1,188.24 = 305.24 : x
  2. Step 2: Convert to fraction form
    792.05/1,188.24 = 305.24/x
  3. Step 3: Cross multiply
    792.05x = 1,188.24 × 305.24
  4. Step 4: Simplify right side
    792.05x = 362,698.38
  5. Step 5: Solve for x
    x = 362,698.38/792.05
  6. Step 6: Final answer
    x = 457.92

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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.