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Finding the Fourth Proportional to 1,090.69, 1,626.37 and 961.18

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Solution

The fourth proportional to 1,090.69, 1,626.37 and 961.18 is: 1,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.69 : 1,626.37 = 961.18 : x
  2. Step 2: Convert to fraction form
    1,090.69/1,626.37 = 961.18/x
  3. Step 3: Cross multiply
    1,090.69x = 1,626.37 × 961.18
  4. Step 4: Simplify right side
    1,090.69x = 1,563,234.32
  5. Step 5: Solve for x
    x = 1,563,234.32/1,090.69
  6. Step 6: Final answer
    x = 1,433.25

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