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Finding the Fourth Proportional to 1,204.94, 1,805.76 and 1,085.06

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Solution

The fourth proportional to 1,204.94, 1,805.76 and 1,085.06 is: 1,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.94 : 1,805.76 = 1,085.06 : x
  2. Step 2: Convert to fraction form
    1,204.94/1,805.76 = 1,085.06/x
  3. Step 3: Cross multiply
    1,204.94x = 1,805.76 × 1,085.06
  4. Step 4: Simplify right side
    1,204.94x = 1,959,357.95
  5. Step 5: Solve for x
    x = 1,959,357.95/1,204.94
  6. Step 6: Final answer
    x = 1,626.10

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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.