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Finding the Fourth Proportional to 872, 1,200.48 and 773.36

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Solution

The fourth proportional to 872, 1,200.48 and 773.36 is: 1,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    872 : 1,200.48 = 773.36 : x
  2. Step 2: Convert to fraction form
    872/1,200.48 = 773.36/x
  3. Step 3: Cross multiply
    872x = 1,200.48 × 773.36
  4. Step 4: Simplify right side
    872x = 928,403.21
  5. Step 5: Solve for x
    x = 928,403.21/872
  6. Step 6: Final answer
    x = 1,064.68

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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.