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Finding the Fourth Proportional to 775.87, 1,163.78 and 429.02

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Solution

The fourth proportional to 775.87, 1,163.78 and 429.02 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.87 : 1,163.78 = 429.02 : x
  2. Step 2: Convert to fraction form
    775.87/1,163.78 = 429.02/x
  3. Step 3: Cross multiply
    775.87x = 1,163.78 × 429.02
  4. Step 4: Simplify right side
    775.87x = 499,283.82
  5. Step 5: Solve for x
    x = 499,283.82/775.87
  6. Step 6: Final answer
    x = 643.52

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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.