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Finding the Fourth Proportional to 1,305.70, 1,958.55 and 1,204.45

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Solution

The fourth proportional to 1,305.70, 1,958.55 and 1,204.45 is: 1,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.70 : 1,958.55 = 1,204.45 : x
  2. Step 2: Convert to fraction form
    1,305.70/1,958.55 = 1,204.45/x
  3. Step 3: Cross multiply
    1,305.70x = 1,958.55 × 1,204.45
  4. Step 4: Simplify right side
    1,305.70x = 2,358,975.55
  5. Step 5: Solve for x
    x = 2,358,975.55/1,305.70
  6. Step 6: Final answer
    x = 1,806.68

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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.