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Finding the Fourth Proportional to 1,141.16, 1,711.62 and 308.31

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Solution

The fourth proportional to 1,141.16, 1,711.62 and 308.31 is: 462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.16 : 1,711.62 = 308.31 : x
  2. Step 2: Convert to fraction form
    1,141.16/1,711.62 = 308.31/x
  3. Step 3: Cross multiply
    1,141.16x = 1,711.62 × 308.31
  4. Step 4: Simplify right side
    1,141.16x = 527,709.56
  5. Step 5: Solve for x
    x = 527,709.56/1,141.16
  6. Step 6: Final answer
    x = 462.43

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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.