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Finding the Fourth Proportional to 1,108.44, 1,661.10 and 491.40

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Solution

The fourth proportional to 1,108.44, 1,661.10 and 491.40 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.44 : 1,661.10 = 491.40 : x
  2. Step 2: Convert to fraction form
    1,108.44/1,661.10 = 491.40/x
  3. Step 3: Cross multiply
    1,108.44x = 1,661.10 × 491.40
  4. Step 4: Simplify right side
    1,108.44x = 816,264.54
  5. Step 5: Solve for x
    x = 816,264.54/1,108.44
  6. Step 6: Final answer
    x = 736.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.