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Finding the Fourth Proportional to 697.61, 1,046.42 and 177.62

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Solution

The fourth proportional to 697.61, 1,046.42 and 177.62 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.61 : 1,046.42 = 177.62 : x
  2. Step 2: Convert to fraction form
    697.61/1,046.42 = 177.62/x
  3. Step 3: Cross multiply
    697.61x = 1,046.42 × 177.62
  4. Step 4: Simplify right side
    697.61x = 185,861.63
  5. Step 5: Solve for x
    x = 185,861.63/697.61
  6. Step 6: Final answer
    x = 266.43

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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.