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Finding the Fourth Proportional to 779.44, 1,168.82 and 414.14

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Solution

The fourth proportional to 779.44, 1,168.82 and 414.14 is: 621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.44 : 1,168.82 = 414.14 : x
  2. Step 2: Convert to fraction form
    779.44/1,168.82 = 414.14/x
  3. Step 3: Cross multiply
    779.44x = 1,168.82 × 414.14
  4. Step 4: Simplify right side
    779.44x = 484,055.11
  5. Step 5: Solve for x
    x = 484,055.11/779.44
  6. Step 6: Final answer
    x = 621.03

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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.