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Finding the Fourth Proportional to 1,199.40, 1,654.68 and 727.08

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Solution

The fourth proportional to 1,199.40, 1,654.68 and 727.08 is: 1,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.40 : 1,654.68 = 727.08 : x
  2. Step 2: Convert to fraction form
    1,199.40/1,654.68 = 727.08/x
  3. Step 3: Cross multiply
    1,199.40x = 1,654.68 × 727.08
  4. Step 4: Simplify right side
    1,199.40x = 1,203,084.73
  5. Step 5: Solve for x
    x = 1,203,084.73/1,199.40
  6. Step 6: Final answer
    x = 1,003.07

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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.