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Finding the Fourth Proportional to 894.04, 1,233.66 and 684.46

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Solution

The fourth proportional to 894.04, 1,233.66 and 684.46 is: 944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.04 : 1,233.66 = 684.46 : x
  2. Step 2: Convert to fraction form
    894.04/1,233.66 = 684.46/x
  3. Step 3: Cross multiply
    894.04x = 1,233.66 × 684.46
  4. Step 4: Simplify right side
    894.04x = 844,390.92
  5. Step 5: Solve for x
    x = 844,390.92/894.04
  6. Step 6: Final answer
    x = 944.47

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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.