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Finding the Fourth Proportional to 855.43, 1,180.56 and 645.24

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Solution

The fourth proportional to 855.43, 1,180.56 and 645.24 is: 890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.43 : 1,180.56 = 645.24 : x
  2. Step 2: Convert to fraction form
    855.43/1,180.56 = 645.24/x
  3. Step 3: Cross multiply
    855.43x = 1,180.56 × 645.24
  4. Step 4: Simplify right side
    855.43x = 761,735.41
  5. Step 5: Solve for x
    x = 761,735.41/855.43
  6. Step 6: Final answer
    x = 890.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.