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Finding the Fourth Proportional to 1,317.96, 1,976.79 and 344.14

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Solution

The fourth proportional to 1,317.96, 1,976.79 and 344.14 is: 516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,976.79 = 344.14 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,976.79 = 344.14/x
  3. Step 3: Cross multiply
    1,317.96x = 1,976.79 × 344.14
  4. Step 4: Simplify right side
    1,317.96x = 680,292.51
  5. Step 5: Solve for x
    x = 680,292.51/1,317.96
  6. Step 6: Final answer
    x = 516.17

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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.