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Finding the Fourth Proportional to 1,317.08, 1,816.26 and 793.16

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Solution

The fourth proportional to 1,317.08, 1,816.26 and 793.16 is: 1,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.08 : 1,816.26 = 793.16 : x
  2. Step 2: Convert to fraction form
    1,317.08/1,816.26 = 793.16/x
  3. Step 3: Cross multiply
    1,317.08x = 1,816.26 × 793.16
  4. Step 4: Simplify right side
    1,317.08x = 1,440,584.78
  5. Step 5: Solve for x
    x = 1,440,584.78/1,317.08
  6. Step 6: Final answer
    x = 1,093.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.