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Finding the Fourth Proportional to 894.34, 1,340.39 and 618.23

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Solution

The fourth proportional to 894.34, 1,340.39 and 618.23 is: 926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.34 : 1,340.39 = 618.23 : x
  2. Step 2: Convert to fraction form
    894.34/1,340.39 = 618.23/x
  3. Step 3: Cross multiply
    894.34x = 1,340.39 × 618.23
  4. Step 4: Simplify right side
    894.34x = 828,669.31
  5. Step 5: Solve for x
    x = 828,669.31/894.34
  6. Step 6: Final answer
    x = 926.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.