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Finding the Fourth Proportional to 1,197.70, 1,796.69 and 581.74

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Solution

The fourth proportional to 1,197.70, 1,796.69 and 581.74 is: 872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.70 : 1,796.69 = 581.74 : x
  2. Step 2: Convert to fraction form
    1,197.70/1,796.69 = 581.74/x
  3. Step 3: Cross multiply
    1,197.70x = 1,796.69 × 581.74
  4. Step 4: Simplify right side
    1,197.70x = 1,045,206.44
  5. Step 5: Solve for x
    x = 1,045,206.44/1,197.70
  6. Step 6: Final answer
    x = 872.68

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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.