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Finding the Fourth Proportional to 680.28, 939.06 and 514.53

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Solution

The fourth proportional to 680.28, 939.06 and 514.53 is: 710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.28 : 939.06 = 514.53 : x
  2. Step 2: Convert to fraction form
    680.28/939.06 = 514.53/x
  3. Step 3: Cross multiply
    680.28x = 939.06 × 514.53
  4. Step 4: Simplify right side
    680.28x = 483,174.54
  5. Step 5: Solve for x
    x = 483,174.54/680.28
  6. Step 6: Final answer
    x = 710.26

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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.