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Finding the Fourth Proportional to 779.84, 1,169.94 and 414.52

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Solution

The fourth proportional to 779.84, 1,169.94 and 414.52 is: 621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.84 : 1,169.94 = 414.52 : x
  2. Step 2: Convert to fraction form
    779.84/1,169.94 = 414.52/x
  3. Step 3: Cross multiply
    779.84x = 1,169.94 × 414.52
  4. Step 4: Simplify right side
    779.84x = 484,963.53
  5. Step 5: Solve for x
    x = 484,963.53/779.84
  6. Step 6: Final answer
    x = 621.88

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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.