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Finding the Fourth Proportional to 776.22, 1,163.22 and 529.20

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Solution

The fourth proportional to 776.22, 1,163.22 and 529.20 is: 793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.22 : 1,163.22 = 529.20 : x
  2. Step 2: Convert to fraction form
    776.22/1,163.22 = 529.20/x
  3. Step 3: Cross multiply
    776.22x = 1,163.22 × 529.20
  4. Step 4: Simplify right side
    776.22x = 615,576.02
  5. Step 5: Solve for x
    x = 615,576.02/776.22
  6. Step 6: Final answer
    x = 793.04

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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.