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Finding the Fourth Proportional to 1,317.66, 1,976.30 and 343.68

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Solution

The fourth proportional to 1,317.66, 1,976.30 and 343.68 is: 515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.66 : 1,976.30 = 343.68 : x
  2. Step 2: Convert to fraction form
    1,317.66/1,976.30 = 343.68/x
  3. Step 3: Cross multiply
    1,317.66x = 1,976.30 × 343.68
  4. Step 4: Simplify right side
    1,317.66x = 679,214.78
  5. Step 5: Solve for x
    x = 679,214.78/1,317.66
  6. Step 6: Final answer
    x = 515.47

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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.