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Finding the Fourth Proportional to 1,199.22, 1,797.57 and 468.78

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Solution

The fourth proportional to 1,199.22, 1,797.57 and 468.78 is: 702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.22 : 1,797.57 = 468.78 : x
  2. Step 2: Convert to fraction form
    1,199.22/1,797.57 = 468.78/x
  3. Step 3: Cross multiply
    1,199.22x = 1,797.57 × 468.78
  4. Step 4: Simplify right side
    1,199.22x = 842,664.86
  5. Step 5: Solve for x
    x = 842,664.86/1,199.22
  6. Step 6: Final answer
    x = 702.68

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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.