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Finding the Fourth Proportional to 1,101.56, 1,644.77 and 1,072.40

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Solution

The fourth proportional to 1,101.56, 1,644.77 and 1,072.40 is: 1,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.56 : 1,644.77 = 1,072.40 : x
  2. Step 2: Convert to fraction form
    1,101.56/1,644.77 = 1,072.40/x
  3. Step 3: Cross multiply
    1,101.56x = 1,644.77 × 1,072.40
  4. Step 4: Simplify right side
    1,101.56x = 1,763,851.35
  5. Step 5: Solve for x
    x = 1,763,851.35/1,101.56
  6. Step 6: Final answer
    x = 1,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.