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Finding the Fourth Proportional to 1,103.44, 1,521.49 and 704.57

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Solution

The fourth proportional to 1,103.44, 1,521.49 and 704.57 is: 971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.44 : 1,521.49 = 704.57 : x
  2. Step 2: Convert to fraction form
    1,103.44/1,521.49 = 704.57/x
  3. Step 3: Cross multiply
    1,103.44x = 1,521.49 × 704.57
  4. Step 4: Simplify right side
    1,103.44x = 1,072,000.89
  5. Step 5: Solve for x
    x = 1,072,000.89/1,103.44
  6. Step 6: Final answer
    x = 971.51

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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.