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Finding the Fourth Proportional to 893.38, 1,237.85 and 873.22

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Solution

The fourth proportional to 893.38, 1,237.85 and 873.22 is: 1,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.38 : 1,237.85 = 873.22 : x
  2. Step 2: Convert to fraction form
    893.38/1,237.85 = 873.22/x
  3. Step 3: Cross multiply
    893.38x = 1,237.85 × 873.22
  4. Step 4: Simplify right side
    893.38x = 1,080,915.38
  5. Step 5: Solve for x
    x = 1,080,915.38/893.38
  6. Step 6: Final answer
    x = 1,209.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.