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Finding the Fourth Proportional to 868.88, 1,198.90 and 573.99

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Solution

The fourth proportional to 868.88, 1,198.90 and 573.99 is: 792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.88 : 1,198.90 = 573.99 : x
  2. Step 2: Convert to fraction form
    868.88/1,198.90 = 573.99/x
  3. Step 3: Cross multiply
    868.88x = 1,198.90 × 573.99
  4. Step 4: Simplify right side
    868.88x = 688,152.83
  5. Step 5: Solve for x
    x = 688,152.83/868.88
  6. Step 6: Final answer
    x = 792.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.