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Finding the Fourth Proportional to 1,194.80, 1,647.60 and 775.34

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Solution

The fourth proportional to 1,194.80, 1,647.60 and 775.34 is: 1,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.80 : 1,647.60 = 775.34 : x
  2. Step 2: Convert to fraction form
    1,194.80/1,647.60 = 775.34/x
  3. Step 3: Cross multiply
    1,194.80x = 1,647.60 × 775.34
  4. Step 4: Simplify right side
    1,194.80x = 1,277,450.18
  5. Step 5: Solve for x
    x = 1,277,450.18/1,194.80
  6. Step 6: Final answer
    x = 1,069.17

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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.