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Finding the Fourth Proportional to 704.18, 969.18 and 517.37

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Solution

The fourth proportional to 704.18, 969.18 and 517.37 is: 712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.18 : 969.18 = 517.37 : x
  2. Step 2: Convert to fraction form
    704.18/969.18 = 517.37/x
  3. Step 3: Cross multiply
    704.18x = 969.18 × 517.37
  4. Step 4: Simplify right side
    704.18x = 501,419.81
  5. Step 5: Solve for x
    x = 501,419.81/704.18
  6. Step 6: Final answer
    x = 712.07

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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.