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Finding the Fourth Proportional to 1,204.02, 1,661.01 and 955.71

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Solution

The fourth proportional to 1,204.02, 1,661.01 and 955.71 is: 1,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.02 : 1,661.01 = 955.71 : x
  2. Step 2: Convert to fraction form
    1,204.02/1,661.01 = 955.71/x
  3. Step 3: Cross multiply
    1,204.02x = 1,661.01 × 955.71
  4. Step 4: Simplify right side
    1,204.02x = 1,587,443.87
  5. Step 5: Solve for x
    x = 1,587,443.87/1,204.02
  6. Step 6: Final answer
    x = 1,318.45

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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.