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Finding the Fourth Proportional to 1,022.36, 1,533.51 and 252.86

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Solution

The fourth proportional to 1,022.36, 1,533.51 and 252.86 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,533.51 = 252.86 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,533.51 = 252.86/x
  3. Step 3: Cross multiply
    1,022.36x = 1,533.51 × 252.86
  4. Step 4: Simplify right side
    1,022.36x = 387,755.67
  5. Step 5: Solve for x
    x = 387,755.67/1,022.36
  6. Step 6: Final answer
    x = 379.28

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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.