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Finding the Fourth Proportional to 1,419.33, 2,129.40 and 445.53

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Solution

The fourth proportional to 1,419.33, 2,129.40 and 445.53 is: 668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.33 : 2,129.40 = 445.53 : x
  2. Step 2: Convert to fraction form
    1,419.33/2,129.40 = 445.53/x
  3. Step 3: Cross multiply
    1,419.33x = 2,129.40 × 445.53
  4. Step 4: Simplify right side
    1,419.33x = 948,711.58
  5. Step 5: Solve for x
    x = 948,711.58/1,419.33
  6. Step 6: Final answer
    x = 668.42

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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.