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Finding the Fourth Proportional to 1,755.74, 2,633.66 and 585.76

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Solution

The fourth proportional to 1,755.74, 2,633.66 and 585.76 is: 878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.74 : 2,633.66 = 585.76 : x
  2. Step 2: Convert to fraction form
    1,755.74/2,633.66 = 585.76/x
  3. Step 3: Cross multiply
    1,755.74x = 2,633.66 × 585.76
  4. Step 4: Simplify right side
    1,755.74x = 1,542,692.68
  5. Step 5: Solve for x
    x = 1,542,692.68/1,755.74
  6. Step 6: Final answer
    x = 878.66

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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.