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Finding the Fourth Proportional to 779.38, 1,169.14 and 414.16

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Solution

The fourth proportional to 779.38, 1,169.14 and 414.16 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.38 : 1,169.14 = 414.16 : x
  2. Step 2: Convert to fraction form
    779.38/1,169.14 = 414.16/x
  3. Step 3: Cross multiply
    779.38x = 1,169.14 × 414.16
  4. Step 4: Simplify right side
    779.38x = 484,211.02
  5. Step 5: Solve for x
    x = 484,211.02/779.38
  6. Step 6: Final answer
    x = 621.28

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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.