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Finding the Fourth Proportional to 1,086.88, 1,627.44 and 777.76

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Solution

The fourth proportional to 1,086.88, 1,627.44 and 777.76 is: 1,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.88 : 1,627.44 = 777.76 : x
  2. Step 2: Convert to fraction form
    1,086.88/1,627.44 = 777.76/x
  3. Step 3: Cross multiply
    1,086.88x = 1,627.44 × 777.76
  4. Step 4: Simplify right side
    1,086.88x = 1,265,757.73
  5. Step 5: Solve for x
    x = 1,265,757.73/1,086.88
  6. Step 6: Final answer
    x = 1,164.58

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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.