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Finding the Fourth Proportional to 905.74, 1,249.86 and 501.89

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Solution

The fourth proportional to 905.74, 1,249.86 and 501.89 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,249.86 = 501.89 : x
  2. Step 2: Convert to fraction form
    905.74/1,249.86 = 501.89/x
  3. Step 3: Cross multiply
    905.74x = 1,249.86 × 501.89
  4. Step 4: Simplify right side
    905.74x = 627,285.99
  5. Step 5: Solve for x
    x = 627,285.99/905.74
  6. Step 6: Final answer
    x = 692.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.