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Finding the Fourth Proportional to 894.05, 1,233.46 and 557.80

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Solution

The fourth proportional to 894.05, 1,233.46 and 557.80 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.05 : 1,233.46 = 557.80 : x
  2. Step 2: Convert to fraction form
    894.05/1,233.46 = 557.80/x
  3. Step 3: Cross multiply
    894.05x = 1,233.46 × 557.80
  4. Step 4: Simplify right side
    894.05x = 688,023.99
  5. Step 5: Solve for x
    x = 688,023.99/894.05
  6. Step 6: Final answer
    x = 769.56

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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.