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Finding the Fourth Proportional to 1,420.53, 2,131.02 and 446.40

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Solution

The fourth proportional to 1,420.53, 2,131.02 and 446.40 is: 669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.53 : 2,131.02 = 446.40 : x
  2. Step 2: Convert to fraction form
    1,420.53/2,131.02 = 446.40/x
  3. Step 3: Cross multiply
    1,420.53x = 2,131.02 × 446.40
  4. Step 4: Simplify right side
    1,420.53x = 951,287.33
  5. Step 5: Solve for x
    x = 951,287.33/1,420.53
  6. Step 6: Final answer
    x = 669.67

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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.