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Finding the Fourth Proportional to 894.42, 1,339.20 and 605.28

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Solution

The fourth proportional to 894.42, 1,339.20 and 605.28 is: 906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.42 : 1,339.20 = 605.28 : x
  2. Step 2: Convert to fraction form
    894.42/1,339.20 = 605.28/x
  3. Step 3: Cross multiply
    894.42x = 1,339.20 × 605.28
  4. Step 4: Simplify right side
    894.42x = 810,590.98
  5. Step 5: Solve for x
    x = 810,590.98/894.42
  6. Step 6: Final answer
    x = 906.28

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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.