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Finding the Fourth Proportional to 1,317.67, 1,976.80 and 393.23

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Solution

The fourth proportional to 1,317.67, 1,976.80 and 393.23 is: 589.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.67 : 1,976.80 = 393.23 : x
  2. Step 2: Convert to fraction form
    1,317.67/1,976.80 = 393.23/x
  3. Step 3: Cross multiply
    1,317.67x = 1,976.80 × 393.23
  4. Step 4: Simplify right side
    1,317.67x = 777,337.06
  5. Step 5: Solve for x
    x = 777,337.06/1,317.67
  6. Step 6: Final answer
    x = 589.93

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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.