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Finding the Fourth Proportional to 906.46, 1,360.07 and 614.29

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Solution

The fourth proportional to 906.46, 1,360.07 and 614.29 is: 921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.46 : 1,360.07 = 614.29 : x
  2. Step 2: Convert to fraction form
    906.46/1,360.07 = 614.29/x
  3. Step 3: Cross multiply
    906.46x = 1,360.07 × 614.29
  4. Step 4: Simplify right side
    906.46x = 835,470.60
  5. Step 5: Solve for x
    x = 835,470.60/906.46
  6. Step 6: Final answer
    x = 921.69

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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.