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Finding the Fourth Proportional to 1,197.99, 1,797.57 and 573.98

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Solution

The fourth proportional to 1,197.99, 1,797.57 and 573.98 is: 861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.99 : 1,797.57 = 573.98 : x
  2. Step 2: Convert to fraction form
    1,197.99/1,797.57 = 573.98/x
  3. Step 3: Cross multiply
    1,197.99x = 1,797.57 × 573.98
  4. Step 4: Simplify right side
    1,197.99x = 1,031,760.24
  5. Step 5: Solve for x
    x = 1,031,760.24/1,197.99
  6. Step 6: Final answer
    x = 861.24

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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.