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Finding the Fourth Proportional to 1,160.99, 1,741.49 and 544.27

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Solution

The fourth proportional to 1,160.99, 1,741.49 and 544.27 is: 816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.99 : 1,741.49 = 544.27 : x
  2. Step 2: Convert to fraction form
    1,160.99/1,741.49 = 544.27/x
  3. Step 3: Cross multiply
    1,160.99x = 1,741.49 × 544.27
  4. Step 4: Simplify right side
    1,160.99x = 947,842.06
  5. Step 5: Solve for x
    x = 947,842.06/1,160.99
  6. Step 6: Final answer
    x = 816.41

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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.