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Finding the Fourth Proportional to 1,161.20, 1,741.80 and 813.80

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Solution

The fourth proportional to 1,161.20, 1,741.80 and 813.80 is: 1,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.20 : 1,741.80 = 813.80 : x
  2. Step 2: Convert to fraction form
    1,161.20/1,741.80 = 813.80/x
  3. Step 3: Cross multiply
    1,161.20x = 1,741.80 × 813.80
  4. Step 4: Simplify right side
    1,161.20x = 1,417,476.84
  5. Step 5: Solve for x
    x = 1,417,476.84/1,161.20
  6. Step 6: Final answer
    x = 1,220.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.