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Finding the Fourth Proportional to 1,317.96, 1,976.60 and 393.29

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Solution

The fourth proportional to 1,317.96, 1,976.60 and 393.29 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,976.60 = 393.29 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,976.60 = 393.29/x
  3. Step 3: Cross multiply
    1,317.96x = 1,976.60 × 393.29
  4. Step 4: Simplify right side
    1,317.96x = 777,365.16
  5. Step 5: Solve for x
    x = 777,365.16/1,317.96
  6. Step 6: Final answer
    x = 589.82

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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.