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Finding the Fourth Proportional to 862.05, 1,293.09 and 313.92

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Solution

The fourth proportional to 862.05, 1,293.09 and 313.92 is: 470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.05 : 1,293.09 = 313.92 : x
  2. Step 2: Convert to fraction form
    862.05/1,293.09 = 313.92/x
  3. Step 3: Cross multiply
    862.05x = 1,293.09 × 313.92
  4. Step 4: Simplify right side
    862.05x = 405,926.81
  5. Step 5: Solve for x
    x = 405,926.81/862.05
  6. Step 6: Final answer
    x = 470.89

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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.