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Finding the Fourth Proportional to 1,201.23, 1,803.06 and 811.22

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Solution

The fourth proportional to 1,201.23, 1,803.06 and 811.22 is: 1,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.23 : 1,803.06 = 811.22 : x
  2. Step 2: Convert to fraction form
    1,201.23/1,803.06 = 811.22/x
  3. Step 3: Cross multiply
    1,201.23x = 1,803.06 × 811.22
  4. Step 4: Simplify right side
    1,201.23x = 1,462,669.32
  5. Step 5: Solve for x
    x = 1,462,669.32/1,201.23
  6. Step 6: Final answer
    x = 1,217.64

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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.