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Finding the Fourth Proportional to 1,805.07, 2,707.77 and 506.53

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Solution

The fourth proportional to 1,805.07, 2,707.77 and 506.53 is: 759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.07 : 2,707.77 = 506.53 : x
  2. Step 2: Convert to fraction form
    1,805.07/2,707.77 = 506.53/x
  3. Step 3: Cross multiply
    1,805.07x = 2,707.77 × 506.53
  4. Step 4: Simplify right side
    1,805.07x = 1,371,566.74
  5. Step 5: Solve for x
    x = 1,371,566.74/1,805.07
  6. Step 6: Final answer
    x = 759.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.