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Finding the Fourth Proportional to 1,194.51, 1,791.36 and 544.89

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Solution

The fourth proportional to 1,194.51, 1,791.36 and 544.89 is: 817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.51 : 1,791.36 = 544.89 : x
  2. Step 2: Convert to fraction form
    1,194.51/1,791.36 = 544.89/x
  3. Step 3: Cross multiply
    1,194.51x = 1,791.36 × 544.89
  4. Step 4: Simplify right side
    1,194.51x = 976,094.15
  5. Step 5: Solve for x
    x = 976,094.15/1,194.51
  6. Step 6: Final answer
    x = 817.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.