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Finding the Fourth Proportional to 1,444.51, 2,166.13 and 519.85

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Solution

The fourth proportional to 1,444.51, 2,166.13 and 519.85 is: 779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.51 : 2,166.13 = 519.85 : x
  2. Step 2: Convert to fraction form
    1,444.51/2,166.13 = 519.85/x
  3. Step 3: Cross multiply
    1,444.51x = 2,166.13 × 519.85
  4. Step 4: Simplify right side
    1,444.51x = 1,126,062.68
  5. Step 5: Solve for x
    x = 1,126,062.68/1,444.51
  6. Step 6: Final answer
    x = 779.55

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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.