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Finding the Fourth Proportional to 1,501.77, 2,252.82 and 461.73

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Solution

The fourth proportional to 1,501.77, 2,252.82 and 461.73 is: 692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.77 : 2,252.82 = 461.73 : x
  2. Step 2: Convert to fraction form
    1,501.77/2,252.82 = 461.73/x
  3. Step 3: Cross multiply
    1,501.77x = 2,252.82 × 461.73
  4. Step 4: Simplify right side
    1,501.77x = 1,040,194.58
  5. Step 5: Solve for x
    x = 1,040,194.58/1,501.77
  6. Step 6: Final answer
    x = 692.65

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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.