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Finding the Fourth Proportional to 1,480.23, 2,219.76 and 602.73

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Solution

The fourth proportional to 1,480.23, 2,219.76 and 602.73 is: 903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.23 : 2,219.76 = 602.73 : x
  2. Step 2: Convert to fraction form
    1,480.23/2,219.76 = 602.73/x
  3. Step 3: Cross multiply
    1,480.23x = 2,219.76 × 602.73
  4. Step 4: Simplify right side
    1,480.23x = 1,337,915.94
  5. Step 5: Solve for x
    x = 1,337,915.94/1,480.23
  6. Step 6: Final answer
    x = 903.86

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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.