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Finding the Fourth Proportional to 894.27, 1,232.91 and 734.16

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Solution

The fourth proportional to 894.27, 1,232.91 and 734.16 is: 1,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.27 : 1,232.91 = 734.16 : x
  2. Step 2: Convert to fraction form
    894.27/1,232.91 = 734.16/x
  3. Step 3: Cross multiply
    894.27x = 1,232.91 × 734.16
  4. Step 4: Simplify right side
    894.27x = 905,157.83
  5. Step 5: Solve for x
    x = 905,157.83/894.27
  6. Step 6: Final answer
    x = 1,012.17

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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.