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Finding the Fourth Proportional to 1,780.05, 2,669.76 and 481.53

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Solution

The fourth proportional to 1,780.05, 2,669.76 and 481.53 is: 722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.05 : 2,669.76 = 481.53 : x
  2. Step 2: Convert to fraction form
    1,780.05/2,669.76 = 481.53/x
  3. Step 3: Cross multiply
    1,780.05x = 2,669.76 × 481.53
  4. Step 4: Simplify right side
    1,780.05x = 1,285,569.53
  5. Step 5: Solve for x
    x = 1,285,569.53/1,780.05
  6. Step 6: Final answer
    x = 722.21

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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.