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Finding the Fourth Proportional to 894.69, 1,234.41 and 579.96

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Solution

The fourth proportional to 894.69, 1,234.41 and 579.96 is: 800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.69 : 1,234.41 = 579.96 : x
  2. Step 2: Convert to fraction form
    894.69/1,234.41 = 579.96/x
  3. Step 3: Cross multiply
    894.69x = 1,234.41 × 579.96
  4. Step 4: Simplify right side
    894.69x = 715,908.42
  5. Step 5: Solve for x
    x = 715,908.42/894.69
  6. Step 6: Final answer
    x = 800.17

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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.