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Finding the Fourth Proportional to 894.16, 1,234.09 and 562.64

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Solution

The fourth proportional to 894.16, 1,234.09 and 562.64 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,234.09 = 562.64 : x
  2. Step 2: Convert to fraction form
    894.16/1,234.09 = 562.64/x
  3. Step 3: Cross multiply
    894.16x = 1,234.09 × 562.64
  4. Step 4: Simplify right side
    894.16x = 694,348.40
  5. Step 5: Solve for x
    x = 694,348.40/894.16
  6. Step 6: Final answer
    x = 776.54

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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.