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Finding the Fourth Proportional to 1,103.56, 1,522.73 and 631.37

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Solution

The fourth proportional to 1,103.56, 1,522.73 and 631.37 is: 871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.56 : 1,522.73 = 631.37 : x
  2. Step 2: Convert to fraction form
    1,103.56/1,522.73 = 631.37/x
  3. Step 3: Cross multiply
    1,103.56x = 1,522.73 × 631.37
  4. Step 4: Simplify right side
    1,103.56x = 961,411.43
  5. Step 5: Solve for x
    x = 961,411.43/1,103.56
  6. Step 6: Final answer
    x = 871.19

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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.