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Finding the Fourth Proportional to 1,219.67, 1,829.23 and 602.75

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Solution

The fourth proportional to 1,219.67, 1,829.23 and 602.75 is: 903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.67 : 1,829.23 = 602.75 : x
  2. Step 2: Convert to fraction form
    1,219.67/1,829.23 = 602.75/x
  3. Step 3: Cross multiply
    1,219.67x = 1,829.23 × 602.75
  4. Step 4: Simplify right side
    1,219.67x = 1,102,568.38
  5. Step 5: Solve for x
    x = 1,102,568.38/1,219.67
  6. Step 6: Final answer
    x = 903.99

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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.