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Finding the Fourth Proportional to 779.51, 1,168.49 and 414.50

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Solution

The fourth proportional to 779.51, 1,168.49 and 414.50 is: 621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.51 : 1,168.49 = 414.50 : x
  2. Step 2: Convert to fraction form
    779.51/1,168.49 = 414.50/x
  3. Step 3: Cross multiply
    779.51x = 1,168.49 × 414.50
  4. Step 4: Simplify right side
    779.51x = 484,334.30
  5. Step 5: Solve for x
    x = 484,334.30/779.51
  6. Step 6: Final answer
    x = 621.33

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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.