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Finding the Fourth Proportional to 939.14, 1,296.40 and 841.94

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Solution

The fourth proportional to 939.14, 1,296.40 and 841.94 is: 1,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.14 : 1,296.40 = 841.94 : x
  2. Step 2: Convert to fraction form
    939.14/1,296.40 = 841.94/x
  3. Step 3: Cross multiply
    939.14x = 1,296.40 × 841.94
  4. Step 4: Simplify right side
    939.14x = 1,091,491.02
  5. Step 5: Solve for x
    x = 1,091,491.02/939.14
  6. Step 6: Final answer
    x = 1,162.22

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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.