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Finding the Fourth Proportional to 774, 1,160.64 and 253.92

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Solution

The fourth proportional to 774, 1,160.64 and 253.92 is: 380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774 : 1,160.64 = 253.92 : x
  2. Step 2: Convert to fraction form
    774/1,160.64 = 253.92/x
  3. Step 3: Cross multiply
    774x = 1,160.64 × 253.92
  4. Step 4: Simplify right side
    774x = 294,709.71
  5. Step 5: Solve for x
    x = 294,709.71/774
  6. Step 6: Final answer
    x = 380.76

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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.