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Finding the Fourth Proportional to 611.75, 844.73 and 512.12

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Solution

The fourth proportional to 611.75, 844.73 and 512.12 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.75 : 844.73 = 512.12 : x
  2. Step 2: Convert to fraction form
    611.75/844.73 = 512.12/x
  3. Step 3: Cross multiply
    611.75x = 844.73 × 512.12
  4. Step 4: Simplify right side
    611.75x = 432,596.34
  5. Step 5: Solve for x
    x = 432,596.34/611.75
  6. Step 6: Final answer
    x = 707.15

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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.