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Finding the Fourth Proportional to 775.95, 1,164 and 228.12

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Solution

The fourth proportional to 775.95, 1,164 and 228.12 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.95 : 1,164 = 228.12 : x
  2. Step 2: Convert to fraction form
    775.95/1,164 = 228.12/x
  3. Step 3: Cross multiply
    775.95x = 1,164 × 228.12
  4. Step 4: Simplify right side
    775.95x = 265,531.68
  5. Step 5: Solve for x
    x = 265,531.68/775.95
  6. Step 6: Final answer
    x = 342.20

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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.