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Finding the Fourth Proportional to 867.67, 1,198.59 and 774.39

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Solution

The fourth proportional to 867.67, 1,198.59 and 774.39 is: 1,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.67 : 1,198.59 = 774.39 : x
  2. Step 2: Convert to fraction form
    867.67/1,198.59 = 774.39/x
  3. Step 3: Cross multiply
    867.67x = 1,198.59 × 774.39
  4. Step 4: Simplify right side
    867.67x = 928,170.12
  5. Step 5: Solve for x
    x = 928,170.12/867.67
  6. Step 6: Final answer
    x = 1,069.73

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1.5x scale

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.