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Finding the Fourth Proportional to 1,317.23, 1,976.83 and 623.90

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Solution

The fourth proportional to 1,317.23, 1,976.83 and 623.90 is: 936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.23 : 1,976.83 = 623.90 : x
  2. Step 2: Convert to fraction form
    1,317.23/1,976.83 = 623.90/x
  3. Step 3: Cross multiply
    1,317.23x = 1,976.83 × 623.90
  4. Step 4: Simplify right side
    1,317.23x = 1,233,346.45
  5. Step 5: Solve for x
    x = 1,233,346.45/1,317.23
  6. Step 6: Final answer
    x = 936.32

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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.