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Finding the Fourth Proportional to 1,077.21, 1,616.37 and 461.43

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Solution

The fourth proportional to 1,077.21, 1,616.37 and 461.43 is: 692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.21 : 1,616.37 = 461.43 : x
  2. Step 2: Convert to fraction form
    1,077.21/1,616.37 = 461.43/x
  3. Step 3: Cross multiply
    1,077.21x = 1,616.37 × 461.43
  4. Step 4: Simplify right side
    1,077.21x = 745,839.88
  5. Step 5: Solve for x
    x = 745,839.88/1,077.21
  6. Step 6: Final answer
    x = 692.38

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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.