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Finding the Fourth Proportional to 894.23, 1,233.63 and 579.60

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Solution

The fourth proportional to 894.23, 1,233.63 and 579.60 is: 799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.23 : 1,233.63 = 579.60 : x
  2. Step 2: Convert to fraction form
    894.23/1,233.63 = 579.60/x
  3. Step 3: Cross multiply
    894.23x = 1,233.63 × 579.60
  4. Step 4: Simplify right side
    894.23x = 715,011.95
  5. Step 5: Solve for x
    x = 715,011.95/894.23
  6. Step 6: Final answer
    x = 799.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.