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Finding the Fourth Proportional to 1,194.04, 1,789.75 and 577.31

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Solution

The fourth proportional to 1,194.04, 1,789.75 and 577.31 is: 865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.04 : 1,789.75 = 577.31 : x
  2. Step 2: Convert to fraction form
    1,194.04/1,789.75 = 577.31/x
  3. Step 3: Cross multiply
    1,194.04x = 1,789.75 × 577.31
  4. Step 4: Simplify right side
    1,194.04x = 1,033,240.57
  5. Step 5: Solve for x
    x = 1,033,240.57/1,194.04
  6. Step 6: Final answer
    x = 865.33

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