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Finding the Fourth Proportional to 1,317.25, 1,975.97 and 439.72

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Solution

The fourth proportional to 1,317.25, 1,975.97 and 439.72 is: 659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.25 : 1,975.97 = 439.72 : x
  2. Step 2: Convert to fraction form
    1,317.25/1,975.97 = 439.72/x
  3. Step 3: Cross multiply
    1,317.25x = 1,975.97 × 439.72
  4. Step 4: Simplify right side
    1,317.25x = 868,873.53
  5. Step 5: Solve for x
    x = 868,873.53/1,317.25
  6. Step 6: Final answer
    x = 659.61

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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.