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Finding the Fourth Proportional to 1,102.75, 1,522.07 and 637.27

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Solution

The fourth proportional to 1,102.75, 1,522.07 and 637.27 is: 879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.75 : 1,522.07 = 637.27 : x
  2. Step 2: Convert to fraction form
    1,102.75/1,522.07 = 637.27/x
  3. Step 3: Cross multiply
    1,102.75x = 1,522.07 × 637.27
  4. Step 4: Simplify right side
    1,102.75x = 969,969.55
  5. Step 5: Solve for x
    x = 969,969.55/1,102.75
  6. Step 6: Final answer
    x = 879.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.