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Finding the Fourth Proportional to 1,194.20, 1,791.30 and 544.76

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Solution

The fourth proportional to 1,194.20, 1,791.30 and 544.76 is: 817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.20 : 1,791.30 = 544.76 : x
  2. Step 2: Convert to fraction form
    1,194.20/1,791.30 = 544.76/x
  3. Step 3: Cross multiply
    1,194.20x = 1,791.30 × 544.76
  4. Step 4: Simplify right side
    1,194.20x = 975,828.59
  5. Step 5: Solve for x
    x = 975,828.59/1,194.20
  6. Step 6: Final answer
    x = 817.14

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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.