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Finding the Fourth Proportional to 775.99, 1,164.00 and 228.19

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Solution

The fourth proportional to 775.99, 1,164.00 and 228.19 is: 342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.99 : 1,164.00 = 228.19 : x
  2. Step 2: Convert to fraction form
    775.99/1,164.00 = 228.19/x
  3. Step 3: Cross multiply
    775.99x = 1,164.00 × 228.19
  4. Step 4: Simplify right side
    775.99x = 265,606.20
  5. Step 5: Solve for x
    x = 265,606.20/775.99
  6. Step 6: Final answer
    x = 342.28

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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.