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Finding the Fourth Proportional to 1,103.17, 1,522.52 and 637.51

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Solution

The fourth proportional to 1,103.17, 1,522.52 and 637.51 is: 879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.17 : 1,522.52 = 637.51 : x
  2. Step 2: Convert to fraction form
    1,103.17/1,522.52 = 637.51/x
  3. Step 3: Cross multiply
    1,103.17x = 1,522.52 × 637.51
  4. Step 4: Simplify right side
    1,103.17x = 970,621.73
  5. Step 5: Solve for x
    x = 970,621.73/1,103.17
  6. Step 6: Final answer
    x = 879.85

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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.