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Finding the Fourth Proportional to 1,005.11, 1,507.91 and 419.79

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Solution

The fourth proportional to 1,005.11, 1,507.91 and 419.79 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.11 : 1,507.91 = 419.79 : x
  2. Step 2: Convert to fraction form
    1,005.11/1,507.91 = 419.79/x
  3. Step 3: Cross multiply
    1,005.11x = 1,507.91 × 419.79
  4. Step 4: Simplify right side
    1,005.11x = 633,000.72
  5. Step 5: Solve for x
    x = 633,000.72/1,005.11
  6. Step 6: Final answer
    x = 629.78

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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.