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Finding the Fourth Proportional to 776.52, 1,164.52 and 228.56

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Solution

The fourth proportional to 776.52, 1,164.52 and 228.56 is: 342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.52 : 1,164.52 = 228.56 : x
  2. Step 2: Convert to fraction form
    776.52/1,164.52 = 228.56/x
  3. Step 3: Cross multiply
    776.52x = 1,164.52 × 228.56
  4. Step 4: Simplify right side
    776.52x = 266,162.69
  5. Step 5: Solve for x
    x = 266,162.69/776.52
  6. Step 6: Final answer
    x = 342.76

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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.