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Finding the Fourth Proportional to 1,160.07, 1,739.70 and 727.53

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Solution

The fourth proportional to 1,160.07, 1,739.70 and 727.53 is: 1,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.07 : 1,739.70 = 727.53 : x
  2. Step 2: Convert to fraction form
    1,160.07/1,739.70 = 727.53/x
  3. Step 3: Cross multiply
    1,160.07x = 1,739.70 × 727.53
  4. Step 4: Simplify right side
    1,160.07x = 1,265,683.94
  5. Step 5: Solve for x
    x = 1,265,683.94/1,160.07
  6. Step 6: Final answer
    x = 1,091.04

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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.