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Finding the Fourth Proportional to 1,244.09, 1,716.90 and 746.96

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Solution

The fourth proportional to 1,244.09, 1,716.90 and 746.96 is: 1,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.09 : 1,716.90 = 746.96 : x
  2. Step 2: Convert to fraction form
    1,244.09/1,716.90 = 746.96/x
  3. Step 3: Cross multiply
    1,244.09x = 1,716.90 × 746.96
  4. Step 4: Simplify right side
    1,244.09x = 1,282,444.24
  5. Step 5: Solve for x
    x = 1,282,444.24/1,244.09
  6. Step 6: Final answer
    x = 1,030.83

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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.