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Finding the Fourth Proportional to 792.04, 1,186.78 and 449

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Solution

The fourth proportional to 792.04, 1,186.78 and 449 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.04 : 1,186.78 = 449 : x
  2. Step 2: Convert to fraction form
    792.04/1,186.78 = 449/x
  3. Step 3: Cross multiply
    792.04x = 1,186.78 × 449
  4. Step 4: Simplify right side
    792.04x = 532,864.22
  5. Step 5: Solve for x
    x = 532,864.22/792.04
  6. Step 6: Final answer
    x = 672.77

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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.