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Finding the Fourth Proportional to 666.56, 920.76 and 518.96

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Solution

The fourth proportional to 666.56, 920.76 and 518.96 is: 716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 920.76 = 518.96 : x
  2. Step 2: Convert to fraction form
    666.56/920.76 = 518.96/x
  3. Step 3: Cross multiply
    666.56x = 920.76 × 518.96
  4. Step 4: Simplify right side
    666.56x = 477,837.61
  5. Step 5: Solve for x
    x = 477,837.61/666.56
  6. Step 6: Final answer
    x = 716.87

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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.