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Finding the Fourth Proportional to 894.92, 1,341.79 and 456.33

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Solution

The fourth proportional to 894.92, 1,341.79 and 456.33 is: 684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.92 : 1,341.79 = 456.33 : x
  2. Step 2: Convert to fraction form
    894.92/1,341.79 = 456.33/x
  3. Step 3: Cross multiply
    894.92x = 1,341.79 × 456.33
  4. Step 4: Simplify right side
    894.92x = 612,304.21
  5. Step 5: Solve for x
    x = 612,304.21/894.92
  6. Step 6: Final answer
    x = 684.20

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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.