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Finding the Fourth Proportional to 776.44, 1,163.34 and 529.08

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Solution

The fourth proportional to 776.44, 1,163.34 and 529.08 is: 792.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.44 : 1,163.34 = 529.08 : x
  2. Step 2: Convert to fraction form
    776.44/1,163.34 = 529.08/x
  3. Step 3: Cross multiply
    776.44x = 1,163.34 × 529.08
  4. Step 4: Simplify right side
    776.44x = 615,499.93
  5. Step 5: Solve for x
    x = 615,499.93/776.44
  6. Step 6: Final answer
    x = 792.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.