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Finding the Fourth Proportional to 1,468.05, 2,202.14 and 601.75

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Solution

The fourth proportional to 1,468.05, 2,202.14 and 601.75 is: 902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.05 : 2,202.14 = 601.75 : x
  2. Step 2: Convert to fraction form
    1,468.05/2,202.14 = 601.75/x
  3. Step 3: Cross multiply
    1,468.05x = 2,202.14 × 601.75
  4. Step 4: Simplify right side
    1,468.05x = 1,325,137.75
  5. Step 5: Solve for x
    x = 1,325,137.75/1,468.05
  6. Step 6: Final answer
    x = 902.65

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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.