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Finding the Fourth Proportional to 1,616.36, 2,424.01 and 520.46

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Solution

The fourth proportional to 1,616.36, 2,424.01 and 520.46 is: 780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.36 : 2,424.01 = 520.46 : x
  2. Step 2: Convert to fraction form
    1,616.36/2,424.01 = 520.46/x
  3. Step 3: Cross multiply
    1,616.36x = 2,424.01 × 520.46
  4. Step 4: Simplify right side
    1,616.36x = 1,261,600.24
  5. Step 5: Solve for x
    x = 1,261,600.24/1,616.36
  6. Step 6: Final answer
    x = 780.52

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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.