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Finding the Fourth Proportional to 1,103.90, 1,523.42 and 631.80

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Solution

The fourth proportional to 1,103.90, 1,523.42 and 631.80 is: 871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.90 : 1,523.42 = 631.80 : x
  2. Step 2: Convert to fraction form
    1,103.90/1,523.42 = 631.80/x
  3. Step 3: Cross multiply
    1,103.90x = 1,523.42 × 631.80
  4. Step 4: Simplify right side
    1,103.90x = 962,485.98
  5. Step 5: Solve for x
    x = 962,485.98/1,103.90
  6. Step 6: Final answer
    x = 871.90

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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.