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Finding the Fourth Proportional to 905.28, 1,357.82 and 614.65

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Solution

The fourth proportional to 905.28, 1,357.82 and 614.65 is: 921.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.28 : 1,357.82 = 614.65 : x
  2. Step 2: Convert to fraction form
    905.28/1,357.82 = 614.65/x
  3. Step 3: Cross multiply
    905.28x = 1,357.82 × 614.65
  4. Step 4: Simplify right side
    905.28x = 834,588.45
  5. Step 5: Solve for x
    x = 834,588.45/905.28
  6. Step 6: Final answer
    x = 921.91

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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.