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Finding the Fourth Proportional to 596.14, 821.62 and 512.90

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Solution

The fourth proportional to 596.14, 821.62 and 512.90 is: 706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.14 : 821.62 = 512.90 : x
  2. Step 2: Convert to fraction form
    596.14/821.62 = 512.90/x
  3. Step 3: Cross multiply
    596.14x = 821.62 × 512.90
  4. Step 4: Simplify right side
    596.14x = 421,408.90
  5. Step 5: Solve for x
    x = 421,408.90/596.14
  6. Step 6: Final answer
    x = 706.90

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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.