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Finding the Fourth Proportional to 1,104.21, 1,657.94 and 797.83

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Solution

The fourth proportional to 1,104.21, 1,657.94 and 797.83 is: 1,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.21 : 1,657.94 = 797.83 : x
  2. Step 2: Convert to fraction form
    1,104.21/1,657.94 = 797.83/x
  3. Step 3: Cross multiply
    1,104.21x = 1,657.94 × 797.83
  4. Step 4: Simplify right side
    1,104.21x = 1,322,746.14
  5. Step 5: Solve for x
    x = 1,322,746.14/1,104.21
  6. Step 6: Final answer
    x = 1,197.91

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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.