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Finding the Fourth Proportional to 775.30, 1,162.26 and 288.02

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Solution

The fourth proportional to 775.30, 1,162.26 and 288.02 is: 431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.30 : 1,162.26 = 288.02 : x
  2. Step 2: Convert to fraction form
    775.30/1,162.26 = 288.02/x
  3. Step 3: Cross multiply
    775.30x = 1,162.26 × 288.02
  4. Step 4: Simplify right side
    775.30x = 334,754.13
  5. Step 5: Solve for x
    x = 334,754.13/775.30
  6. Step 6: Final answer
    x = 431.77

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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.