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Finding the Fourth Proportional to 779.24, 1,168.06 and 563.80

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Solution

The fourth proportional to 779.24, 1,168.06 and 563.80 is: 845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.24 : 1,168.06 = 563.80 : x
  2. Step 2: Convert to fraction form
    779.24/1,168.06 = 563.80/x
  3. Step 3: Cross multiply
    779.24x = 1,168.06 × 563.80
  4. Step 4: Simplify right side
    779.24x = 658,552.23
  5. Step 5: Solve for x
    x = 658,552.23/779.24
  6. Step 6: Final answer
    x = 845.12

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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.