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Finding the Fourth Proportional to 1,077.71, 1,614.16 and 923.94

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Solution

The fourth proportional to 1,077.71, 1,614.16 and 923.94 is: 1,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.71 : 1,614.16 = 923.94 : x
  2. Step 2: Convert to fraction form
    1,077.71/1,614.16 = 923.94/x
  3. Step 3: Cross multiply
    1,077.71x = 1,614.16 × 923.94
  4. Step 4: Simplify right side
    1,077.71x = 1,491,388.15
  5. Step 5: Solve for x
    x = 1,491,388.15/1,077.71
  6. Step 6: Final answer
    x = 1,383.86

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Why These Related Problems?

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