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Finding the Fourth Proportional to 1,103.10, 1,522.27 and 637.35

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Solution

The fourth proportional to 1,103.10, 1,522.27 and 637.35 is: 879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.10 : 1,522.27 = 637.35 : x
  2. Step 2: Convert to fraction form
    1,103.10/1,522.27 = 637.35/x
  3. Step 3: Cross multiply
    1,103.10x = 1,522.27 × 637.35
  4. Step 4: Simplify right side
    1,103.10x = 970,218.78
  5. Step 5: Solve for x
    x = 970,218.78/1,103.10
  6. Step 6: Final answer
    x = 879.54

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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.