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Finding the Fourth Proportional to 1,468.80, 2,202.87 and 428.79

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Solution

The fourth proportional to 1,468.80, 2,202.87 and 428.79 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.80 : 2,202.87 = 428.79 : x
  2. Step 2: Convert to fraction form
    1,468.80/2,202.87 = 428.79/x
  3. Step 3: Cross multiply
    1,468.80x = 2,202.87 × 428.79
  4. Step 4: Simplify right side
    1,468.80x = 944,568.63
  5. Step 5: Solve for x
    x = 944,568.63/1,468.80
  6. Step 6: Final answer
    x = 643.09

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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.