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Finding the Fourth Proportional to 707.43, 975.22 and 496.97

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Solution

The fourth proportional to 707.43, 975.22 and 496.97 is: 685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.43 : 975.22 = 496.97 : x
  2. Step 2: Convert to fraction form
    707.43/975.22 = 496.97/x
  3. Step 3: Cross multiply
    707.43x = 975.22 × 496.97
  4. Step 4: Simplify right side
    707.43x = 484,652.60
  5. Step 5: Solve for x
    x = 484,652.60/707.43
  6. Step 6: Final answer
    x = 685.09

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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.