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Finding the Fourth Proportional to 1,206.09, 1,810.80 and 797.85

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Solution

The fourth proportional to 1,206.09, 1,810.80 and 797.85 is: 1,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.09 : 1,810.80 = 797.85 : x
  2. Step 2: Convert to fraction form
    1,206.09/1,810.80 = 797.85/x
  3. Step 3: Cross multiply
    1,206.09x = 1,810.80 × 797.85
  4. Step 4: Simplify right side
    1,206.09x = 1,444,746.78
  5. Step 5: Solve for x
    x = 1,444,746.78/1,206.09
  6. Step 6: Final answer
    x = 1,197.88

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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.