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Finding the Fourth Proportional to 887.41, 1,224.38 and 852.37

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Solution

The fourth proportional to 887.41, 1,224.38 and 852.37 is: 1,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.41 : 1,224.38 = 852.37 : x
  2. Step 2: Convert to fraction form
    887.41/1,224.38 = 852.37/x
  3. Step 3: Cross multiply
    887.41x = 1,224.38 × 852.37
  4. Step 4: Simplify right side
    887.41x = 1,043,630.74
  5. Step 5: Solve for x
    x = 1,043,630.74/887.41
  6. Step 6: Final answer
    x = 1,176.05

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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.