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Finding the Fourth Proportional to 1,616.34, 2,425 and 505.71

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Solution

The fourth proportional to 1,616.34, 2,425 and 505.71 is: 758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.34 : 2,425 = 505.71 : x
  2. Step 2: Convert to fraction form
    1,616.34/2,425 = 505.71/x
  3. Step 3: Cross multiply
    1,616.34x = 2,425 × 505.71
  4. Step 4: Simplify right side
    1,616.34x = 1,226,346.75
  5. Step 5: Solve for x
    x = 1,226,346.75/1,616.34
  6. Step 6: Final answer
    x = 758.72

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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.