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Finding the Fourth Proportional to 1,317.72, 1,976.95 and 393.31

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Solution

The fourth proportional to 1,317.72, 1,976.95 and 393.31 is: 590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.72 : 1,976.95 = 393.31 : x
  2. Step 2: Convert to fraction form
    1,317.72/1,976.95 = 393.31/x
  3. Step 3: Cross multiply
    1,317.72x = 1,976.95 × 393.31
  4. Step 4: Simplify right side
    1,317.72x = 777,555.69
  5. Step 5: Solve for x
    x = 777,555.69/1,317.72
  6. Step 6: Final answer
    x = 590.07

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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.