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Finding the Fourth Proportional to 1,317.05, 1,975.38 and 439.57

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Solution

The fourth proportional to 1,317.05, 1,975.38 and 439.57 is: 659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.05 : 1,975.38 = 439.57 : x
  2. Step 2: Convert to fraction form
    1,317.05/1,975.38 = 439.57/x
  3. Step 3: Cross multiply
    1,317.05x = 1,975.38 × 439.57
  4. Step 4: Simplify right side
    1,317.05x = 868,318.61
  5. Step 5: Solve for x
    x = 868,318.61/1,317.05
  6. Step 6: Final answer
    x = 659.29

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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.