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Finding the Fourth Proportional to 1,160.19, 1,739.07 and 611.82

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Solution

The fourth proportional to 1,160.19, 1,739.07 and 611.82 is: 917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.19 : 1,739.07 = 611.82 : x
  2. Step 2: Convert to fraction form
    1,160.19/1,739.07 = 611.82/x
  3. Step 3: Cross multiply
    1,160.19x = 1,739.07 × 611.82
  4. Step 4: Simplify right side
    1,160.19x = 1,063,997.81
  5. Step 5: Solve for x
    x = 1,063,997.81/1,160.19
  6. Step 6: Final answer
    x = 917.09

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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.