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Finding the Fourth Proportional to 894.23, 1,234.19 and 562.83

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Solution

The fourth proportional to 894.23, 1,234.19 and 562.83 is: 776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.23 : 1,234.19 = 562.83 : x
  2. Step 2: Convert to fraction form
    894.23/1,234.19 = 562.83/x
  3. Step 3: Cross multiply
    894.23x = 1,234.19 × 562.83
  4. Step 4: Simplify right side
    894.23x = 694,636.34
  5. Step 5: Solve for x
    x = 694,636.34/894.23
  6. Step 6: Final answer
    x = 776.80

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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.