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Finding the Fourth Proportional to 666.74, 919.15 and 517.57

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Solution

The fourth proportional to 666.74, 919.15 and 517.57 is: 713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 919.15 = 517.57 : x
  2. Step 2: Convert to fraction form
    666.74/919.15 = 517.57/x
  3. Step 3: Cross multiply
    666.74x = 919.15 × 517.57
  4. Step 4: Simplify right side
    666.74x = 475,720.87
  5. Step 5: Solve for x
    x = 475,720.87/666.74
  6. Step 6: Final answer
    x = 713.50

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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.