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Finding the Fourth Proportional to 1,805.06, 2,707.56 and 506.52

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Solution

The fourth proportional to 1,805.06, 2,707.56 and 506.52 is: 759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.06 : 2,707.56 = 506.52 : x
  2. Step 2: Convert to fraction form
    1,805.06/2,707.56 = 506.52/x
  3. Step 3: Cross multiply
    1,805.06x = 2,707.56 × 506.52
  4. Step 4: Simplify right side
    1,805.06x = 1,371,433.29
  5. Step 5: Solve for x
    x = 1,371,433.29/1,805.06
  6. Step 6: Final answer
    x = 759.77

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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.