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Finding the Fourth Proportional to 775.87, 1,164.32 and 288.97

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Solution

The fourth proportional to 775.87, 1,164.32 and 288.97 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.87 : 1,164.32 = 288.97 : x
  2. Step 2: Convert to fraction form
    775.87/1,164.32 = 288.97/x
  3. Step 3: Cross multiply
    775.87x = 1,164.32 × 288.97
  4. Step 4: Simplify right side
    775.87x = 336,453.55
  5. Step 5: Solve for x
    x = 336,453.55/775.87
  6. Step 6: Final answer
    x = 433.65

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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.