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Finding the Fourth Proportional to 1,417.51, 1,956.26 and 828.23

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Solution

The fourth proportional to 1,417.51, 1,956.26 and 828.23 is: 1,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.51 : 1,956.26 = 828.23 : x
  2. Step 2: Convert to fraction form
    1,417.51/1,956.26 = 828.23/x
  3. Step 3: Cross multiply
    1,417.51x = 1,956.26 × 828.23
  4. Step 4: Simplify right side
    1,417.51x = 1,620,229.08
  5. Step 5: Solve for x
    x = 1,620,229.08/1,417.51
  6. Step 6: Final answer
    x = 1,143.01

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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.