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Finding the Fourth Proportional to 779.87, 1,170.17 and 341.06

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Solution

The fourth proportional to 779.87, 1,170.17 and 341.06 is: 511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.87 : 1,170.17 = 341.06 : x
  2. Step 2: Convert to fraction form
    779.87/1,170.17 = 341.06/x
  3. Step 3: Cross multiply
    779.87x = 1,170.17 × 341.06
  4. Step 4: Simplify right side
    779.87x = 399,100.47
  5. Step 5: Solve for x
    x = 399,100.47/779.87
  6. Step 6: Final answer
    x = 511.75

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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.