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Finding the Fourth Proportional to 775.16, 1,163.10 and 592.76

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Solution

The fourth proportional to 775.16, 1,163.10 and 592.76 is: 889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.16 : 1,163.10 = 592.76 : x
  2. Step 2: Convert to fraction form
    775.16/1,163.10 = 592.76/x
  3. Step 3: Cross multiply
    775.16x = 1,163.10 × 592.76
  4. Step 4: Simplify right side
    775.16x = 689,439.16
  5. Step 5: Solve for x
    x = 689,439.16/775.16
  6. Step 6: Final answer
    x = 889.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.