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Finding the Fourth Proportional to 1,076.92, 1,486.14 and 611.20

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Solution

The fourth proportional to 1,076.92, 1,486.14 and 611.20 is: 843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.92 : 1,486.14 = 611.20 : x
  2. Step 2: Convert to fraction form
    1,076.92/1,486.14 = 611.20/x
  3. Step 3: Cross multiply
    1,076.92x = 1,486.14 × 611.20
  4. Step 4: Simplify right side
    1,076.92x = 908,328.77
  5. Step 5: Solve for x
    x = 908,328.77/1,076.92
  6. Step 6: Final answer
    x = 843.45

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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.