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Finding the Fourth Proportional to 905.82, 1,250.07 and 512.91

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Solution

The fourth proportional to 905.82, 1,250.07 and 512.91 is: 707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.82 : 1,250.07 = 512.91 : x
  2. Step 2: Convert to fraction form
    905.82/1,250.07 = 512.91/x
  3. Step 3: Cross multiply
    905.82x = 1,250.07 × 512.91
  4. Step 4: Simplify right side
    905.82x = 641,173.40
  5. Step 5: Solve for x
    x = 641,173.40/905.82
  6. Step 6: Final answer
    x = 707.84

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