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Finding the Fourth Proportional to 1,103.22, 1,523.64 and 857.49

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Solution

The fourth proportional to 1,103.22, 1,523.64 and 857.49 is: 1,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.22 : 1,523.64 = 857.49 : x
  2. Step 2: Convert to fraction form
    1,103.22/1,523.64 = 857.49/x
  3. Step 3: Cross multiply
    1,103.22x = 1,523.64 × 857.49
  4. Step 4: Simplify right side
    1,103.22x = 1,306,506.06
  5. Step 5: Solve for x
    x = 1,306,506.06/1,103.22
  6. Step 6: Final answer
    x = 1,184.27

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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.