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Finding the Fourth Proportional to 1,317.20, 1,975.86 and 343.31

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Solution

The fourth proportional to 1,317.20, 1,975.86 and 343.31 is: 514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.20 : 1,975.86 = 343.31 : x
  2. Step 2: Convert to fraction form
    1,317.20/1,975.86 = 343.31/x
  3. Step 3: Cross multiply
    1,317.20x = 1,975.86 × 343.31
  4. Step 4: Simplify right side
    1,317.20x = 678,322.62
  5. Step 5: Solve for x
    x = 678,322.62/1,317.20
  6. Step 6: Final answer
    x = 514.98

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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.