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Finding the Fourth Proportional to 1,262.06, 1,892.55 and 440.09

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Solution

The fourth proportional to 1,262.06, 1,892.55 and 440.09 is: 659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.06 : 1,892.55 = 440.09 : x
  2. Step 2: Convert to fraction form
    1,262.06/1,892.55 = 440.09/x
  3. Step 3: Cross multiply
    1,262.06x = 1,892.55 × 440.09
  4. Step 4: Simplify right side
    1,262.06x = 832,892.33
  5. Step 5: Solve for x
    x = 832,892.33/1,262.06
  6. Step 6: Final answer
    x = 659.95

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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.