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Finding the Fourth Proportional to 1,077.14, 1,616.46 and 461.27

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Solution

The fourth proportional to 1,077.14, 1,616.46 and 461.27 is: 692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.14 : 1,616.46 = 461.27 : x
  2. Step 2: Convert to fraction form
    1,077.14/1,616.46 = 461.27/x
  3. Step 3: Cross multiply
    1,077.14x = 1,616.46 × 461.27
  4. Step 4: Simplify right side
    1,077.14x = 745,624.50
  5. Step 5: Solve for x
    x = 745,624.50/1,077.14
  6. Step 6: Final answer
    x = 692.23

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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.