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Finding the Fourth Proportional to 1,616.14, 2,424.62 and 520.48

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Solution

The fourth proportional to 1,616.14, 2,424.62 and 520.48 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.14 : 2,424.62 = 520.48 : x
  2. Step 2: Convert to fraction form
    1,616.14/2,424.62 = 520.48/x
  3. Step 3: Cross multiply
    1,616.14x = 2,424.62 × 520.48
  4. Step 4: Simplify right side
    1,616.14x = 1,261,963.62
  5. Step 5: Solve for x
    x = 1,261,963.62/1,616.14
  6. Step 6: Final answer
    x = 780.85

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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.