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Finding the Fourth Proportional to 1,231.31, 1,846.01 and 614.71

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Solution

The fourth proportional to 1,231.31, 1,846.01 and 614.71 is: 921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.31 : 1,846.01 = 614.71 : x
  2. Step 2: Convert to fraction form
    1,231.31/1,846.01 = 614.71/x
  3. Step 3: Cross multiply
    1,231.31x = 1,846.01 × 614.71
  4. Step 4: Simplify right side
    1,231.31x = 1,134,748.50
  5. Step 5: Solve for x
    x = 1,134,748.50/1,231.31
  6. Step 6: Final answer
    x = 921.58

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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.