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Finding the Fourth Proportional to 662.22, 992.34 and 524.70

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Solution

The fourth proportional to 662.22, 992.34 and 524.70 is: 786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.22 : 992.34 = 524.70 : x
  2. Step 2: Convert to fraction form
    662.22/992.34 = 524.70/x
  3. Step 3: Cross multiply
    662.22x = 992.34 × 524.70
  4. Step 4: Simplify right side
    662.22x = 520,680.80
  5. Step 5: Solve for x
    x = 520,680.80/662.22
  6. Step 6: Final answer
    x = 786.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.