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Finding the Fourth Proportional to 1,444.52, 2,166.53 and 519.90

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Solution

The fourth proportional to 1,444.52, 2,166.53 and 519.90 is: 779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.52 : 2,166.53 = 519.90 : x
  2. Step 2: Convert to fraction form
    1,444.52/2,166.53 = 519.90/x
  3. Step 3: Cross multiply
    1,444.52x = 2,166.53 × 519.90
  4. Step 4: Simplify right side
    1,444.52x = 1,126,380.25
  5. Step 5: Solve for x
    x = 1,126,380.25/1,444.52
  6. Step 6: Final answer
    x = 779.76

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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.