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Finding the Fourth Proportional to 1,204.89, 1,661.14 and 957.03

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Solution

The fourth proportional to 1,204.89, 1,661.14 and 957.03 is: 1,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.89 : 1,661.14 = 957.03 : x
  2. Step 2: Convert to fraction form
    1,204.89/1,661.14 = 957.03/x
  3. Step 3: Cross multiply
    1,204.89x = 1,661.14 × 957.03
  4. Step 4: Simplify right side
    1,204.89x = 1,589,760.81
  5. Step 5: Solve for x
    x = 1,589,760.81/1,204.89
  6. Step 6: Final answer
    x = 1,319.42

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Why These Related Problems?

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