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Finding the Fourth Proportional to 1,144.13, 1,578.97 and 646.79

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Solution

The fourth proportional to 1,144.13, 1,578.97 and 646.79 is: 892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.13 : 1,578.97 = 646.79 : x
  2. Step 2: Convert to fraction form
    1,144.13/1,578.97 = 646.79/x
  3. Step 3: Cross multiply
    1,144.13x = 1,578.97 × 646.79
  4. Step 4: Simplify right side
    1,144.13x = 1,021,262.01
  5. Step 5: Solve for x
    x = 1,021,262.01/1,144.13
  6. Step 6: Final answer
    x = 892.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.