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Finding the Fourth Proportional to 777.91, 1,166.97 and 290.97

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Solution

The fourth proportional to 777.91, 1,166.97 and 290.97 is: 436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.91 : 1,166.97 = 290.97 : x
  2. Step 2: Convert to fraction form
    777.91/1,166.97 = 290.97/x
  3. Step 3: Cross multiply
    777.91x = 1,166.97 × 290.97
  4. Step 4: Simplify right side
    777.91x = 339,553.26
  5. Step 5: Solve for x
    x = 339,553.26/777.91
  6. Step 6: Final answer
    x = 436.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.