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Finding the Fourth Proportional to 1,205.89, 1,662.52 and 958.03

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Solution

The fourth proportional to 1,205.89, 1,662.52 and 958.03 is: 1,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.89 : 1,662.52 = 958.03 : x
  2. Step 2: Convert to fraction form
    1,205.89/1,662.52 = 958.03/x
  3. Step 3: Cross multiply
    1,205.89x = 1,662.52 × 958.03
  4. Step 4: Simplify right side
    1,205.89x = 1,592,744.04
  5. Step 5: Solve for x
    x = 1,592,744.04/1,205.89
  6. Step 6: Final answer
    x = 1,320.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.