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Finding the Fourth Proportional to 1,442.50, 2,163.94 and 518.16

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Solution

The fourth proportional to 1,442.50, 2,163.94 and 518.16 is: 777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.50 : 2,163.94 = 518.16 : x
  2. Step 2: Convert to fraction form
    1,442.50/2,163.94 = 518.16/x
  3. Step 3: Cross multiply
    1,442.50x = 2,163.94 × 518.16
  4. Step 4: Simplify right side
    1,442.50x = 1,121,265.86
  5. Step 5: Solve for x
    x = 1,121,265.86/1,442.50
  6. Step 6: Final answer
    x = 777.31

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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.