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Finding the Fourth Proportional to 1,092.77, 1,636.70 and 629.45

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Solution

The fourth proportional to 1,092.77, 1,636.70 and 629.45 is: 942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.77 : 1,636.70 = 629.45 : x
  2. Step 2: Convert to fraction form
    1,092.77/1,636.70 = 629.45/x
  3. Step 3: Cross multiply
    1,092.77x = 1,636.70 × 629.45
  4. Step 4: Simplify right side
    1,092.77x = 1,030,217.67
  5. Step 5: Solve for x
    x = 1,030,217.67/1,092.77
  6. Step 6: Final answer
    x = 942.76

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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.