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Finding the Fourth Proportional to 1,616.01, 2,424.25 and 520.12

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Solution

The fourth proportional to 1,616.01, 2,424.25 and 520.12 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.01 : 2,424.25 = 520.12 : x
  2. Step 2: Convert to fraction form
    1,616.01/2,424.25 = 520.12/x
  3. Step 3: Cross multiply
    1,616.01x = 2,424.25 × 520.12
  4. Step 4: Simplify right side
    1,616.01x = 1,260,900.91
  5. Step 5: Solve for x
    x = 1,260,900.91/1,616.01
  6. Step 6: Final answer
    x = 780.26

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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.