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Finding the Fourth Proportional to 665.82, 920.16 and 568.62

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Solution

The fourth proportional to 665.82, 920.16 and 568.62 is: 785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 920.16 = 568.62 : x
  2. Step 2: Convert to fraction form
    665.82/920.16 = 568.62/x
  3. Step 3: Cross multiply
    665.82x = 920.16 × 568.62
  4. Step 4: Simplify right side
    665.82x = 523,221.38
  5. Step 5: Solve for x
    x = 523,221.38/665.82
  6. Step 6: Final answer
    x = 785.83

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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.