Home / 1,052.20-1,578.19-467.21

Finding the Fourth Proportional to 1,052.20, 1,578.19 and 467.21

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Solution

The fourth proportional to 1,052.20, 1,578.19 and 467.21 is: 700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.20 : 1,578.19 = 467.21 : x
  2. Step 2: Convert to fraction form
    1,052.20/1,578.19 = 467.21/x
  3. Step 3: Cross multiply
    1,052.20x = 1,578.19 × 467.21
  4. Step 4: Simplify right side
    1,052.20x = 737,346.15
  5. Step 5: Solve for x
    x = 737,346.15/1,052.20
  6. Step 6: Final answer
    x = 700.77

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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.