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Finding the Fourth Proportional to 668.90, 921.93 and 614.18

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Solution

The fourth proportional to 668.90, 921.93 and 614.18 is: 846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.90 : 921.93 = 614.18 : x
  2. Step 2: Convert to fraction form
    668.90/921.93 = 614.18/x
  3. Step 3: Cross multiply
    668.90x = 921.93 × 614.18
  4. Step 4: Simplify right side
    668.90x = 566,230.97
  5. Step 5: Solve for x
    x = 566,230.97/668.90
  6. Step 6: Final answer
    x = 846.51

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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.