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Finding the Fourth Proportional to 1,161.85, 1,742.52 and 411.46

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Solution

The fourth proportional to 1,161.85, 1,742.52 and 411.46 is: 617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.85 : 1,742.52 = 411.46 : x
  2. Step 2: Convert to fraction form
    1,161.85/1,742.52 = 411.46/x
  3. Step 3: Cross multiply
    1,161.85x = 1,742.52 × 411.46
  4. Step 4: Simplify right side
    1,161.85x = 716,972.92
  5. Step 5: Solve for x
    x = 716,972.92/1,161.85
  6. Step 6: Final answer
    x = 617.10

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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.