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Finding the Fourth Proportional to 1,262.99, 1,893.31 and 482.75

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Solution

The fourth proportional to 1,262.99, 1,893.31 and 482.75 is: 723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.99 : 1,893.31 = 482.75 : x
  2. Step 2: Convert to fraction form
    1,262.99/1,893.31 = 482.75/x
  3. Step 3: Cross multiply
    1,262.99x = 1,893.31 × 482.75
  4. Step 4: Simplify right side
    1,262.99x = 914,000.14
  5. Step 5: Solve for x
    x = 914,000.14/1,262.99
  6. Step 6: Final answer
    x = 723.68

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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.