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Finding the Fourth Proportional to 1,420.67, 2,131.35 and 446.78

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Solution

The fourth proportional to 1,420.67, 2,131.35 and 446.78 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.67 : 2,131.35 = 446.78 : x
  2. Step 2: Convert to fraction form
    1,420.67/2,131.35 = 446.78/x
  3. Step 3: Cross multiply
    1,420.67x = 2,131.35 × 446.78
  4. Step 4: Simplify right side
    1,420.67x = 952,233.90
  5. Step 5: Solve for x
    x = 952,233.90/1,420.67
  6. Step 6: Final answer
    x = 670.27

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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.