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Finding the Fourth Proportional to 779.90, 1,169.91 and 414.18

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Solution

The fourth proportional to 779.90, 1,169.91 and 414.18 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.90 : 1,169.91 = 414.18 : x
  2. Step 2: Convert to fraction form
    779.90/1,169.91 = 414.18/x
  3. Step 3: Cross multiply
    779.90x = 1,169.91 × 414.18
  4. Step 4: Simplify right side
    779.90x = 484,553.32
  5. Step 5: Solve for x
    x = 484,553.32/779.90
  6. Step 6: Final answer
    x = 621.31

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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.