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Finding the Fourth Proportional to 1,616.70, 2,425.50 and 576.75

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Solution

The fourth proportional to 1,616.70, 2,425.50 and 576.75 is: 865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.70 : 2,425.50 = 576.75 : x
  2. Step 2: Convert to fraction form
    1,616.70/2,425.50 = 576.75/x
  3. Step 3: Cross multiply
    1,616.70x = 2,425.50 × 576.75
  4. Step 4: Simplify right side
    1,616.70x = 1,398,907.13
  5. Step 5: Solve for x
    x = 1,398,907.13/1,616.70
  6. Step 6: Final answer
    x = 865.29

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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.