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Finding the Fourth Proportional to 1,077.15, 1,616.28 and 461.37

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Solution

The fourth proportional to 1,077.15, 1,616.28 and 461.37 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.15 : 1,616.28 = 461.37 : x
  2. Step 2: Convert to fraction form
    1,077.15/1,616.28 = 461.37/x
  3. Step 3: Cross multiply
    1,077.15x = 1,616.28 × 461.37
  4. Step 4: Simplify right side
    1,077.15x = 745,700.80
  5. Step 5: Solve for x
    x = 745,700.80/1,077.15
  6. Step 6: Final answer
    x = 692.29

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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.