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Finding the Fourth Proportional to 1,262.44, 1,893.32 and 531.88

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Solution

The fourth proportional to 1,262.44, 1,893.32 and 531.88 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.44 : 1,893.32 = 531.88 : x
  2. Step 2: Convert to fraction form
    1,262.44/1,893.32 = 531.88/x
  3. Step 3: Cross multiply
    1,262.44x = 1,893.32 × 531.88
  4. Step 4: Simplify right side
    1,262.44x = 1,007,019.04
  5. Step 5: Solve for x
    x = 1,007,019.04/1,262.44
  6. Step 6: Final answer
    x = 797.68

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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.