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Finding the Fourth Proportional to 1,317.03, 1,817.50 and 727.57

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Solution

The fourth proportional to 1,317.03, 1,817.50 and 727.57 is: 1,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.03 : 1,817.50 = 727.57 : x
  2. Step 2: Convert to fraction form
    1,317.03/1,817.50 = 727.57/x
  3. Step 3: Cross multiply
    1,317.03x = 1,817.50 × 727.57
  4. Step 4: Simplify right side
    1,317.03x = 1,322,352.11
  5. Step 5: Solve for x
    x = 1,322,352.11/1,317.03
  6. Step 6: Final answer
    x = 1,004.04

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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.