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Finding the Fourth Proportional to 668.37, 922.24 and 614.61

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Solution

The fourth proportional to 668.37, 922.24 and 614.61 is: 848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.37 : 922.24 = 614.61 : x
  2. Step 2: Convert to fraction form
    668.37/922.24 = 614.61/x
  3. Step 3: Cross multiply
    668.37x = 922.24 × 614.61
  4. Step 4: Simplify right side
    668.37x = 566,817.93
  5. Step 5: Solve for x
    x = 566,817.93/668.37
  6. Step 6: Final answer
    x = 848.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.