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Finding the Fourth Proportional to 1,092.58, 1,636.38 and 658.78

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Solution

The fourth proportional to 1,092.58, 1,636.38 and 658.78 is: 986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.58 : 1,636.38 = 658.78 : x
  2. Step 2: Convert to fraction form
    1,092.58/1,636.38 = 658.78/x
  3. Step 3: Cross multiply
    1,092.58x = 1,636.38 × 658.78
  4. Step 4: Simplify right side
    1,092.58x = 1,078,014.42
  5. Step 5: Solve for x
    x = 1,078,014.42/1,092.58
  6. Step 6: Final answer
    x = 986.67

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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.