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Finding the Fourth Proportional to 896.06, 1,236.49 and 522.92

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Solution

The fourth proportional to 896.06, 1,236.49 and 522.92 is: 721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.06 : 1,236.49 = 522.92 : x
  2. Step 2: Convert to fraction form
    896.06/1,236.49 = 522.92/x
  3. Step 3: Cross multiply
    896.06x = 1,236.49 × 522.92
  4. Step 4: Simplify right side
    896.06x = 646,587.13
  5. Step 5: Solve for x
    x = 646,587.13/896.06
  6. Step 6: Final answer
    x = 721.59

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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.