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Finding the Fourth Proportional to 1,057.68, 1,584.54 and 851.34

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Solution

The fourth proportional to 1,057.68, 1,584.54 and 851.34 is: 1,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,584.54 = 851.34 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,584.54 = 851.34/x
  3. Step 3: Cross multiply
    1,057.68x = 1,584.54 × 851.34
  4. Step 4: Simplify right side
    1,057.68x = 1,348,982.28
  5. Step 5: Solve for x
    x = 1,348,982.28/1,057.68
  6. Step 6: Final answer
    x = 1,275.42

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