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Finding the Fourth Proportional to 1,155.12, 1,732.83 and 461.77

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Solution

The fourth proportional to 1,155.12, 1,732.83 and 461.77 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.12 : 1,732.83 = 461.77 : x
  2. Step 2: Convert to fraction form
    1,155.12/1,732.83 = 461.77/x
  3. Step 3: Cross multiply
    1,155.12x = 1,732.83 × 461.77
  4. Step 4: Simplify right side
    1,155.12x = 800,162.85
  5. Step 5: Solve for x
    x = 800,162.85/1,155.12
  6. Step 6: Final answer
    x = 692.71

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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.