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Finding the Fourth Proportional to 1,161.85, 1,741.70 and 391.81

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Solution

The fourth proportional to 1,161.85, 1,741.70 and 391.81 is: 587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.85 : 1,741.70 = 391.81 : x
  2. Step 2: Convert to fraction form
    1,161.85/1,741.70 = 391.81/x
  3. Step 3: Cross multiply
    1,161.85x = 1,741.70 × 391.81
  4. Step 4: Simplify right side
    1,161.85x = 682,415.48
  5. Step 5: Solve for x
    x = 682,415.48/1,161.85
  6. Step 6: Final answer
    x = 587.35

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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.