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Finding the Fourth Proportional to 894.64, 1,234.98 and 600.04

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Solution

The fourth proportional to 894.64, 1,234.98 and 600.04 is: 828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.64 : 1,234.98 = 600.04 : x
  2. Step 2: Convert to fraction form
    894.64/1,234.98 = 600.04/x
  3. Step 3: Cross multiply
    894.64x = 1,234.98 × 600.04
  4. Step 4: Simplify right side
    894.64x = 741,037.40
  5. Step 5: Solve for x
    x = 741,037.40/894.64
  6. Step 6: Final answer
    x = 828.31

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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.