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Finding the Fourth Proportional to 1,103.86, 1,519.51 and 954.42

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Solution

The fourth proportional to 1,103.86, 1,519.51 and 954.42 is: 1,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.86 : 1,519.51 = 954.42 : x
  2. Step 2: Convert to fraction form
    1,103.86/1,519.51 = 954.42/x
  3. Step 3: Cross multiply
    1,103.86x = 1,519.51 × 954.42
  4. Step 4: Simplify right side
    1,103.86x = 1,450,250.73
  5. Step 5: Solve for x
    x = 1,450,250.73/1,103.86
  6. Step 6: Final answer
    x = 1,313.80

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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.