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Finding the Fourth Proportional to 779.82, 1,170.15 and 346.96

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Solution

The fourth proportional to 779.82, 1,170.15 and 346.96 is: 520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.82 : 1,170.15 = 346.96 : x
  2. Step 2: Convert to fraction form
    779.82/1,170.15 = 346.96/x
  3. Step 3: Cross multiply
    779.82x = 1,170.15 × 346.96
  4. Step 4: Simplify right side
    779.82x = 405,995.24
  5. Step 5: Solve for x
    x = 405,995.24/779.82
  6. Step 6: Final answer
    x = 520.63

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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.