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Finding the Fourth Proportional to 1,193.91, 1,791.08 and 544.71

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Solution

The fourth proportional to 1,193.91, 1,791.08 and 544.71 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.91 : 1,791.08 = 544.71 : x
  2. Step 2: Convert to fraction form
    1,193.91/1,791.08 = 544.71/x
  3. Step 3: Cross multiply
    1,193.91x = 1,791.08 × 544.71
  4. Step 4: Simplify right side
    1,193.91x = 975,616.46
  5. Step 5: Solve for x
    x = 975,616.46/1,193.91
  6. Step 6: Final answer
    x = 817.16

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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.