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Finding the Fourth Proportional to 1,194.14, 1,647.58 and 774.51

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Solution

The fourth proportional to 1,194.14, 1,647.58 and 774.51 is: 1,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.14 : 1,647.58 = 774.51 : x
  2. Step 2: Convert to fraction form
    1,194.14/1,647.58 = 774.51/x
  3. Step 3: Cross multiply
    1,194.14x = 1,647.58 × 774.51
  4. Step 4: Simplify right side
    1,194.14x = 1,276,067.19
  5. Step 5: Solve for x
    x = 1,276,067.19/1,194.14
  6. Step 6: Final answer
    x = 1,068.61

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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.