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Finding the Fourth Proportional to 1,107.35, 1,524.66 and 941.30

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Solution

The fourth proportional to 1,107.35, 1,524.66 and 941.30 is: 1,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.35 : 1,524.66 = 941.30 : x
  2. Step 2: Convert to fraction form
    1,107.35/1,524.66 = 941.30/x
  3. Step 3: Cross multiply
    1,107.35x = 1,524.66 × 941.30
  4. Step 4: Simplify right side
    1,107.35x = 1,435,162.46
  5. Step 5: Solve for x
    x = 1,435,162.46/1,107.35
  6. Step 6: Final answer
    x = 1,296.03

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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.