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Finding the Fourth Proportional to 891.64, 1,336.06 and 685.96

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Solution

The fourth proportional to 891.64, 1,336.06 and 685.96 is: 1,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,336.06 = 685.96 : x
  2. Step 2: Convert to fraction form
    891.64/1,336.06 = 685.96/x
  3. Step 3: Cross multiply
    891.64x = 1,336.06 × 685.96
  4. Step 4: Simplify right side
    891.64x = 916,483.72
  5. Step 5: Solve for x
    x = 916,483.72/891.64
  6. Step 6: Final answer
    x = 1,027.86

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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.