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Finding the Fourth Proportional to 668.72, 922.37 and 613.64

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Solution

The fourth proportional to 668.72, 922.37 and 613.64 is: 846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.72 : 922.37 = 613.64 : x
  2. Step 2: Convert to fraction form
    668.72/922.37 = 613.64/x
  3. Step 3: Cross multiply
    668.72x = 922.37 × 613.64
  4. Step 4: Simplify right side
    668.72x = 566,003.13
  5. Step 5: Solve for x
    x = 566,003.13/668.72
  6. Step 6: Final answer
    x = 846.40

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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.