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Finding the Fourth Proportional to 792.64, 1,189.14 and 299.26

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Solution

The fourth proportional to 792.64, 1,189.14 and 299.26 is: 448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.64 : 1,189.14 = 299.26 : x
  2. Step 2: Convert to fraction form
    792.64/1,189.14 = 299.26/x
  3. Step 3: Cross multiply
    792.64x = 1,189.14 × 299.26
  4. Step 4: Simplify right side
    792.64x = 355,862.04
  5. Step 5: Solve for x
    x = 355,862.04/792.64
  6. Step 6: Final answer
    x = 448.96

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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.