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Finding the Fourth Proportional to 1,023.63, 1,535.44 and 254.13

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Solution

The fourth proportional to 1,023.63, 1,535.44 and 254.13 is: 381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.63 : 1,535.44 = 254.13 : x
  2. Step 2: Convert to fraction form
    1,023.63/1,535.44 = 254.13/x
  3. Step 3: Cross multiply
    1,023.63x = 1,535.44 × 254.13
  4. Step 4: Simplify right side
    1,023.63x = 390,201.37
  5. Step 5: Solve for x
    x = 390,201.37/1,023.63
  6. Step 6: Final answer
    x = 381.19

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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.