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Finding the Fourth Proportional to 1,160.94, 1,741.07 and 338.96

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Solution

The fourth proportional to 1,160.94, 1,741.07 and 338.96 is: 508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.94 : 1,741.07 = 338.96 : x
  2. Step 2: Convert to fraction form
    1,160.94/1,741.07 = 338.96/x
  3. Step 3: Cross multiply
    1,160.94x = 1,741.07 × 338.96
  4. Step 4: Simplify right side
    1,160.94x = 590,142.69
  5. Step 5: Solve for x
    x = 590,142.69/1,160.94
  6. Step 6: Final answer
    x = 508.33

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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.