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Finding the Fourth Proportional to 1,030.24, 1,544.37 and 481.96

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Solution

The fourth proportional to 1,030.24, 1,544.37 and 481.96 is: 722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.24 : 1,544.37 = 481.96 : x
  2. Step 2: Convert to fraction form
    1,030.24/1,544.37 = 481.96/x
  3. Step 3: Cross multiply
    1,030.24x = 1,544.37 × 481.96
  4. Step 4: Simplify right side
    1,030.24x = 744,324.57
  5. Step 5: Solve for x
    x = 744,324.57/1,030.24
  6. Step 6: Final answer
    x = 722.48

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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.