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Finding the Fourth Proportional to 680.66, 940.16 and 591.96

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Solution

The fourth proportional to 680.66, 940.16 and 591.96 is: 817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.66 : 940.16 = 591.96 : x
  2. Step 2: Convert to fraction form
    680.66/940.16 = 591.96/x
  3. Step 3: Cross multiply
    680.66x = 940.16 × 591.96
  4. Step 4: Simplify right side
    680.66x = 556,538.59
  5. Step 5: Solve for x
    x = 556,538.59/680.66
  6. Step 6: Final answer
    x = 817.65

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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.