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Finding the Fourth Proportional to 1,111.22, 1,663.33 and 762.52

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Solution

The fourth proportional to 1,111.22, 1,663.33 and 762.52 is: 1,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.22 : 1,663.33 = 762.52 : x
  2. Step 2: Convert to fraction form
    1,111.22/1,663.33 = 762.52/x
  3. Step 3: Cross multiply
    1,111.22x = 1,663.33 × 762.52
  4. Step 4: Simplify right side
    1,111.22x = 1,268,314.07
  5. Step 5: Solve for x
    x = 1,268,314.07/1,111.22
  6. Step 6: Final answer
    x = 1,141.37

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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.