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Finding the Fourth Proportional to 1,103.51, 1,522.78 and 631.41

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Solution

The fourth proportional to 1,103.51, 1,522.78 and 631.41 is: 871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.51 : 1,522.78 = 631.41 : x
  2. Step 2: Convert to fraction form
    1,103.51/1,522.78 = 631.41/x
  3. Step 3: Cross multiply
    1,103.51x = 1,522.78 × 631.41
  4. Step 4: Simplify right side
    1,103.51x = 961,496.94
  5. Step 5: Solve for x
    x = 961,496.94/1,103.51
  6. Step 6: Final answer
    x = 871.31

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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.