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Finding the Fourth Proportional to 773.80, 1,160.70 and 409.30

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Solution

The fourth proportional to 773.80, 1,160.70 and 409.30 is: 613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.80 : 1,160.70 = 409.30 : x
  2. Step 2: Convert to fraction form
    773.80/1,160.70 = 409.30/x
  3. Step 3: Cross multiply
    773.80x = 1,160.70 × 409.30
  4. Step 4: Simplify right side
    773.80x = 475,074.51
  5. Step 5: Solve for x
    x = 475,074.51/773.80
  6. Step 6: Final answer
    x = 613.95

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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.