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Finding the Fourth Proportional to 775.91, 1,164.08 and 228.15

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Solution

The fourth proportional to 775.91, 1,164.08 and 228.15 is: 342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.91 : 1,164.08 = 228.15 : x
  2. Step 2: Convert to fraction form
    775.91/1,164.08 = 228.15/x
  3. Step 3: Cross multiply
    775.91x = 1,164.08 × 228.15
  4. Step 4: Simplify right side
    775.91x = 265,585.42
  5. Step 5: Solve for x
    x = 265,585.42/775.91
  6. Step 6: Final answer
    x = 342.29

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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.