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Finding the Fourth Proportional to 775.98, 1,164.22 and 289.10

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Solution

The fourth proportional to 775.98, 1,164.22 and 289.10 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.98 : 1,164.22 = 289.10 : x
  2. Step 2: Convert to fraction form
    775.98/1,164.22 = 289.10/x
  3. Step 3: Cross multiply
    775.98x = 1,164.22 × 289.10
  4. Step 4: Simplify right side
    775.98x = 336,576.00
  5. Step 5: Solve for x
    x = 336,576.00/775.98
  6. Step 6: Final answer
    x = 433.74

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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.