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Finding the Fourth Proportional to 1,201.68, 1,805.56 and 1,153.08

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Solution

The fourth proportional to 1,201.68, 1,805.56 and 1,153.08 is: 1,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.68 : 1,805.56 = 1,153.08 : x
  2. Step 2: Convert to fraction form
    1,201.68/1,805.56 = 1,153.08/x
  3. Step 3: Cross multiply
    1,201.68x = 1,805.56 × 1,153.08
  4. Step 4: Simplify right side
    1,201.68x = 2,081,952.24
  5. Step 5: Solve for x
    x = 2,081,952.24/1,201.68
  6. Step 6: Final answer
    x = 1,732.53

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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.