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Finding the Fourth Proportional to 685.83, 947.24 and 519.75

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Solution

The fourth proportional to 685.83, 947.24 and 519.75 is: 717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.83 : 947.24 = 519.75 : x
  2. Step 2: Convert to fraction form
    685.83/947.24 = 519.75/x
  3. Step 3: Cross multiply
    685.83x = 947.24 × 519.75
  4. Step 4: Simplify right side
    685.83x = 492,334.26
  5. Step 5: Solve for x
    x = 492,334.26/685.83
  6. Step 6: Final answer
    x = 717.87

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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.