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Finding the Fourth Proportional to 685.29, 947.01 and 519.21

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Solution

The fourth proportional to 685.29, 947.01 and 519.21 is: 717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.29 : 947.01 = 519.21 : x
  2. Step 2: Convert to fraction form
    685.29/947.01 = 519.21/x
  3. Step 3: Cross multiply
    685.29x = 947.01 × 519.21
  4. Step 4: Simplify right side
    685.29x = 491,697.06
  5. Step 5: Solve for x
    x = 491,697.06/685.29
  6. Step 6: Final answer
    x = 717.50

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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.