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Finding the Fourth Proportional to 1,092.82, 1,636.15 and 860.45

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Solution

The fourth proportional to 1,092.82, 1,636.15 and 860.45 is: 1,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.82 : 1,636.15 = 860.45 : x
  2. Step 2: Convert to fraction form
    1,092.82/1,636.15 = 860.45/x
  3. Step 3: Cross multiply
    1,092.82x = 1,636.15 × 860.45
  4. Step 4: Simplify right side
    1,092.82x = 1,407,821.15
  5. Step 5: Solve for x
    x = 1,407,821.15/1,092.82
  6. Step 6: Final answer
    x = 1,288.25

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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.