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Finding the Fourth Proportional to 776.02, 1,163.66 and 288.72

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Solution

The fourth proportional to 776.02, 1,163.66 and 288.72 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.02 : 1,163.66 = 288.72 : x
  2. Step 2: Convert to fraction form
    776.02/1,163.66 = 288.72/x
  3. Step 3: Cross multiply
    776.02x = 1,163.66 × 288.72
  4. Step 4: Simplify right side
    776.02x = 335,971.92
  5. Step 5: Solve for x
    x = 335,971.92/776.02
  6. Step 6: Final answer
    x = 432.94

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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.