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Finding the Fourth Proportional to 928.16, 1,389.20 and 663.28

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Solution

The fourth proportional to 928.16, 1,389.20 and 663.28 is: 992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.16 : 1,389.20 = 663.28 : x
  2. Step 2: Convert to fraction form
    928.16/1,389.20 = 663.28/x
  3. Step 3: Cross multiply
    928.16x = 1,389.20 × 663.28
  4. Step 4: Simplify right side
    928.16x = 921,428.58
  5. Step 5: Solve for x
    x = 921,428.58/928.16
  6. Step 6: Final answer
    x = 992.75

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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.