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Finding the Fourth Proportional to 1,077.13, 1,486.64 and 611.38

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Solution

The fourth proportional to 1,077.13, 1,486.64 and 611.38 is: 843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.13 : 1,486.64 = 611.38 : x
  2. Step 2: Convert to fraction form
    1,077.13/1,486.64 = 611.38/x
  3. Step 3: Cross multiply
    1,077.13x = 1,486.64 × 611.38
  4. Step 4: Simplify right side
    1,077.13x = 908,891.47
  5. Step 5: Solve for x
    x = 908,891.47/1,077.13
  6. Step 6: Final answer
    x = 843.81

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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.