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Finding the Fourth Proportional to 1,131.73, 1,699.48 and 763.90

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Solution

The fourth proportional to 1,131.73, 1,699.48 and 763.90 is: 1,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.73 : 1,699.48 = 763.90 : x
  2. Step 2: Convert to fraction form
    1,131.73/1,699.48 = 763.90/x
  3. Step 3: Cross multiply
    1,131.73x = 1,699.48 × 763.90
  4. Step 4: Simplify right side
    1,131.73x = 1,298,233.43
  5. Step 5: Solve for x
    x = 1,298,233.43/1,131.73
  6. Step 6: Final answer
    x = 1,147.12

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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.