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Finding the Fourth Proportional to 1,262.25, 1,893.42 and 396.54

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Solution

The fourth proportional to 1,262.25, 1,893.42 and 396.54 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.25 : 1,893.42 = 396.54 : x
  2. Step 2: Convert to fraction form
    1,262.25/1,893.42 = 396.54/x
  3. Step 3: Cross multiply
    1,262.25x = 1,893.42 × 396.54
  4. Step 4: Simplify right side
    1,262.25x = 750,816.77
  5. Step 5: Solve for x
    x = 750,816.77/1,262.25
  6. Step 6: Final answer
    x = 594.82

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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.