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Finding the Fourth Proportional to 887.05, 1,337.22 and 827.58

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Solution

The fourth proportional to 887.05, 1,337.22 and 827.58 is: 1,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.05 : 1,337.22 = 827.58 : x
  2. Step 2: Convert to fraction form
    887.05/1,337.22 = 827.58/x
  3. Step 3: Cross multiply
    887.05x = 1,337.22 × 827.58
  4. Step 4: Simplify right side
    887.05x = 1,106,656.53
  5. Step 5: Solve for x
    x = 1,106,656.53/887.05
  6. Step 6: Final answer
    x = 1,247.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.