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Finding the Fourth Proportional to 680.72, 938.12 and 505.84

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Solution

The fourth proportional to 680.72, 938.12 and 505.84 is: 697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.72 : 938.12 = 505.84 : x
  2. Step 2: Convert to fraction form
    680.72/938.12 = 505.84/x
  3. Step 3: Cross multiply
    680.72x = 938.12 × 505.84
  4. Step 4: Simplify right side
    680.72x = 474,538.62
  5. Step 5: Solve for x
    x = 474,538.62/680.72
  6. Step 6: Final answer
    x = 697.11

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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.