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Finding the Fourth Proportional to 671.02, 1,008.15 and 428.02

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Solution

The fourth proportional to 671.02, 1,008.15 and 428.02 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.02 : 1,008.15 = 428.02 : x
  2. Step 2: Convert to fraction form
    671.02/1,008.15 = 428.02/x
  3. Step 3: Cross multiply
    671.02x = 1,008.15 × 428.02
  4. Step 4: Simplify right side
    671.02x = 431,508.36
  5. Step 5: Solve for x
    x = 431,508.36/671.02
  6. Step 6: Final answer
    x = 643.06

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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.