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Finding the Fourth Proportional to 792.43, 1,188.64 and 305.14

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Solution

The fourth proportional to 792.43, 1,188.64 and 305.14 is: 457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.43 : 1,188.64 = 305.14 : x
  2. Step 2: Convert to fraction form
    792.43/1,188.64 = 305.14/x
  3. Step 3: Cross multiply
    792.43x = 1,188.64 × 305.14
  4. Step 4: Simplify right side
    792.43x = 362,700.08
  5. Step 5: Solve for x
    x = 362,700.08/792.43
  6. Step 6: Final answer
    x = 457.71

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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.