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Finding the Fourth Proportional to 775.32, 1,161.87 and 583.08

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Solution

The fourth proportional to 775.32, 1,161.87 and 583.08 is: 873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.32 : 1,161.87 = 583.08 : x
  2. Step 2: Convert to fraction form
    775.32/1,161.87 = 583.08/x
  3. Step 3: Cross multiply
    775.32x = 1,161.87 × 583.08
  4. Step 4: Simplify right side
    775.32x = 677,463.16
  5. Step 5: Solve for x
    x = 677,463.16/775.32
  6. Step 6: Final answer
    x = 873.79

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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.