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Finding the Fourth Proportional to 1,616.21, 2,423.76 and 520.29

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Solution

The fourth proportional to 1,616.21, 2,423.76 and 520.29 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.21 : 2,423.76 = 520.29 : x
  2. Step 2: Convert to fraction form
    1,616.21/2,423.76 = 520.29/x
  3. Step 3: Cross multiply
    1,616.21x = 2,423.76 × 520.29
  4. Step 4: Simplify right side
    1,616.21x = 1,261,058.09
  5. Step 5: Solve for x
    x = 1,261,058.09/1,616.21
  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.