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Finding the Fourth Proportional to 1,083.60, 1,494.72 and 768.42

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Solution

The fourth proportional to 1,083.60, 1,494.72 and 768.42 is: 1,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.60 : 1,494.72 = 768.42 : x
  2. Step 2: Convert to fraction form
    1,083.60/1,494.72 = 768.42/x
  3. Step 3: Cross multiply
    1,083.60x = 1,494.72 × 768.42
  4. Step 4: Simplify right side
    1,083.60x = 1,148,572.74
  5. Step 5: Solve for x
    x = 1,148,572.74/1,083.60
  6. Step 6: Final answer
    x = 1,059.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.