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Finding the Fourth Proportional to 842.72, 1,161.99 and 684.92

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Solution

The fourth proportional to 842.72, 1,161.99 and 684.92 is: 944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.72 : 1,161.99 = 684.92 : x
  2. Step 2: Convert to fraction form
    842.72/1,161.99 = 684.92/x
  3. Step 3: Cross multiply
    842.72x = 1,161.99 × 684.92
  4. Step 4: Simplify right side
    842.72x = 795,870.19
  5. Step 5: Solve for x
    x = 795,870.19/842.72
  6. Step 6: Final answer
    x = 944.41

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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.