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Finding the Fourth Proportional to 1,418.06, 1,956.72 and 828.49

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Solution

The fourth proportional to 1,418.06, 1,956.72 and 828.49 is: 1,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.06 : 1,956.72 = 828.49 : x
  2. Step 2: Convert to fraction form
    1,418.06/1,956.72 = 828.49/x
  3. Step 3: Cross multiply
    1,418.06x = 1,956.72 × 828.49
  4. Step 4: Simplify right side
    1,418.06x = 1,621,113.17
  5. Step 5: Solve for x
    x = 1,621,113.17/1,418.06
  6. Step 6: Final answer
    x = 1,143.19

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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.