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Finding the Fourth Proportional to 795.28, 1,096.44 and 654.88

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Solution

The fourth proportional to 795.28, 1,096.44 and 654.88 is: 902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.28 : 1,096.44 = 654.88 : x
  2. Step 2: Convert to fraction form
    795.28/1,096.44 = 654.88/x
  3. Step 3: Cross multiply
    795.28x = 1,096.44 × 654.88
  4. Step 4: Simplify right side
    795.28x = 718,036.63
  5. Step 5: Solve for x
    x = 718,036.63/795.28
  6. Step 6: Final answer
    x = 902.87

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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.