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Finding the Fourth Proportional to 1,104.52, 1,522.24 and 1,072.93

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Solution

The fourth proportional to 1,104.52, 1,522.24 and 1,072.93 is: 1,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.52 : 1,522.24 = 1,072.93 : x
  2. Step 2: Convert to fraction form
    1,104.52/1,522.24 = 1,072.93/x
  3. Step 3: Cross multiply
    1,104.52x = 1,522.24 × 1,072.93
  4. Step 4: Simplify right side
    1,104.52x = 1,633,256.96
  5. Step 5: Solve for x
    x = 1,633,256.96/1,104.52
  6. Step 6: Final answer
    x = 1,478.70

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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.