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Finding the Fourth Proportional to 1,333.34, 1,990.42 and 1,059.05

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Solution

The fourth proportional to 1,333.34, 1,990.42 and 1,059.05 is: 1,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.34 : 1,990.42 = 1,059.05 : x
  2. Step 2: Convert to fraction form
    1,333.34/1,990.42 = 1,059.05/x
  3. Step 3: Cross multiply
    1,333.34x = 1,990.42 × 1,059.05
  4. Step 4: Simplify right side
    1,333.34x = 2,107,954.30
  5. Step 5: Solve for x
    x = 2,107,954.30/1,333.34
  6. Step 6: Final answer
    x = 1,580.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.