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Finding the Fourth Proportional to 928.16, 1,394.28 and 563.16

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Solution

The fourth proportional to 928.16, 1,394.28 and 563.16 is: 845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.16 : 1,394.28 = 563.16 : x
  2. Step 2: Convert to fraction form
    928.16/1,394.28 = 563.16/x
  3. Step 3: Cross multiply
    928.16x = 1,394.28 × 563.16
  4. Step 4: Simplify right side
    928.16x = 785,202.72
  5. Step 5: Solve for x
    x = 785,202.72/928.16
  6. Step 6: Final answer
    x = 845.98

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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.