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Finding the Fourth Proportional to 1,015.17, 1,523.42 and 939.11

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Solution

The fourth proportional to 1,015.17, 1,523.42 and 939.11 is: 1,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.17 : 1,523.42 = 939.11 : x
  2. Step 2: Convert to fraction form
    1,015.17/1,523.42 = 939.11/x
  3. Step 3: Cross multiply
    1,015.17x = 1,523.42 × 939.11
  4. Step 4: Simplify right side
    1,015.17x = 1,430,646.64
  5. Step 5: Solve for x
    x = 1,430,646.64/1,015.17
  6. Step 6: Final answer
    x = 1,409.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.