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Finding the Fourth Proportional to 777.92, 1,167.69 and 345.38

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Solution

The fourth proportional to 777.92, 1,167.69 and 345.38 is: 518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.92 : 1,167.69 = 345.38 : x
  2. Step 2: Convert to fraction form
    777.92/1,167.69 = 345.38/x
  3. Step 3: Cross multiply
    777.92x = 1,167.69 × 345.38
  4. Step 4: Simplify right side
    777.92x = 403,296.77
  5. Step 5: Solve for x
    x = 403,296.77/777.92
  6. Step 6: Final answer
    x = 518.43

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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.