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Finding the Fourth Proportional to 1,199.09, 1,654.16 and 1,033.02

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Solution

The fourth proportional to 1,199.09, 1,654.16 and 1,033.02 is: 1,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.09 : 1,654.16 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    1,199.09/1,654.16 = 1,033.02/x
  3. Step 3: Cross multiply
    1,199.09x = 1,654.16 × 1,033.02
  4. Step 4: Simplify right side
    1,199.09x = 1,708,772.58
  5. Step 5: Solve for x
    x = 1,708,772.58/1,199.09
  6. Step 6: Final answer
    x = 1,425.06

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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.