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Finding the Fourth Proportional to 775.83, 1,162.30 and 385.36

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Solution

The fourth proportional to 775.83, 1,162.30 and 385.36 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.83 : 1,162.30 = 385.36 : x
  2. Step 2: Convert to fraction form
    775.83/1,162.30 = 385.36/x
  3. Step 3: Cross multiply
    775.83x = 1,162.30 × 385.36
  4. Step 4: Simplify right side
    775.83x = 447,900.78
  5. Step 5: Solve for x
    x = 447,900.78/775.83
  6. Step 6: Final answer
    x = 577.32

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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.