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Finding the Fourth Proportional to 887.22, 1,331.57 and 784.75

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Solution

The fourth proportional to 887.22, 1,331.57 and 784.75 is: 1,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.22 : 1,331.57 = 784.75 : x
  2. Step 2: Convert to fraction form
    887.22/1,331.57 = 784.75/x
  3. Step 3: Cross multiply
    887.22x = 1,331.57 × 784.75
  4. Step 4: Simplify right side
    887.22x = 1,044,949.56
  5. Step 5: Solve for x
    x = 1,044,949.56/887.22
  6. Step 6: Final answer
    x = 1,177.78

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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.