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Finding the Fourth Proportional to 887.90, 1,227.76 and 764.78

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Solution

The fourth proportional to 887.90, 1,227.76 and 764.78 is: 1,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.90 : 1,227.76 = 764.78 : x
  2. Step 2: Convert to fraction form
    887.90/1,227.76 = 764.78/x
  3. Step 3: Cross multiply
    887.90x = 1,227.76 × 764.78
  4. Step 4: Simplify right side
    887.90x = 938,958.24
  5. Step 5: Solve for x
    x = 938,958.24/887.90
  6. Step 6: Final answer
    x = 1,057.51

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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.