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Finding the Fourth Proportional to 1,579.76, 2,369.92 and 539.52

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Solution

The fourth proportional to 1,579.76, 2,369.92 and 539.52 is: 809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.76 : 2,369.92 = 539.52 : x
  2. Step 2: Convert to fraction form
    1,579.76/2,369.92 = 539.52/x
  3. Step 3: Cross multiply
    1,579.76x = 2,369.92 × 539.52
  4. Step 4: Simplify right side
    1,579.76x = 1,278,624.79
  5. Step 5: Solve for x
    x = 1,278,624.79/1,579.76
  6. Step 6: Final answer
    x = 809.38

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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.