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Finding the Fourth Proportional to 779.71, 1,167.94 and 347.17

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Solution

The fourth proportional to 779.71, 1,167.94 and 347.17 is: 520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.71 : 1,167.94 = 347.17 : x
  2. Step 2: Convert to fraction form
    779.71/1,167.94 = 347.17/x
  3. Step 3: Cross multiply
    779.71x = 1,167.94 × 347.17
  4. Step 4: Simplify right side
    779.71x = 405,473.73
  5. Step 5: Solve for x
    x = 405,473.73/779.71
  6. Step 6: Final answer
    x = 520.03

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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.