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Finding the Fourth Proportional to 1,086.26, 1,629.38 and 763.07

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Solution

The fourth proportional to 1,086.26, 1,629.38 and 763.07 is: 1,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.26 : 1,629.38 = 763.07 : x
  2. Step 2: Convert to fraction form
    1,086.26/1,629.38 = 763.07/x
  3. Step 3: Cross multiply
    1,086.26x = 1,629.38 × 763.07
  4. Step 4: Simplify right side
    1,086.26x = 1,243,327.81
  5. Step 5: Solve for x
    x = 1,243,327.81/1,086.26
  6. Step 6: Final answer
    x = 1,144.60

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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.