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Finding the Fourth Proportional to 1,083.12, 1,495.96 and 733.20

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Solution

The fourth proportional to 1,083.12, 1,495.96 and 733.20 is: 1,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.12 : 1,495.96 = 733.20 : x
  2. Step 2: Convert to fraction form
    1,083.12/1,495.96 = 733.20/x
  3. Step 3: Cross multiply
    1,083.12x = 1,495.96 × 733.20
  4. Step 4: Simplify right side
    1,083.12x = 1,096,837.87
  5. Step 5: Solve for x
    x = 1,096,837.87/1,083.12
  6. Step 6: Final answer
    x = 1,012.67

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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.