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Finding the Fourth Proportional to 792.16, 1,189.20 and 576.16

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Solution

The fourth proportional to 792.16, 1,189.20 and 576.16 is: 864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.16 : 1,189.20 = 576.16 : x
  2. Step 2: Convert to fraction form
    792.16/1,189.20 = 576.16/x
  3. Step 3: Cross multiply
    792.16x = 1,189.20 × 576.16
  4. Step 4: Simplify right side
    792.16x = 685,169.47
  5. Step 5: Solve for x
    x = 685,169.47/792.16
  6. Step 6: Final answer
    x = 864.94

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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.