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Finding the Fourth Proportional to 928.89, 1,393.20 and 563.58

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Solution

The fourth proportional to 928.89, 1,393.20 and 563.58 is: 845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.89 : 1,393.20 = 563.58 : x
  2. Step 2: Convert to fraction form
    928.89/1,393.20 = 563.58/x
  3. Step 3: Cross multiply
    928.89x = 1,393.20 × 563.58
  4. Step 4: Simplify right side
    928.89x = 785,179.66
  5. Step 5: Solve for x
    x = 785,179.66/928.89
  6. Step 6: Final answer
    x = 845.29

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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.