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Finding the Fourth Proportional to 1,081.72, 1,618.93 and 646.75

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Solution

The fourth proportional to 1,081.72, 1,618.93 and 646.75 is: 967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.72 : 1,618.93 = 646.75 : x
  2. Step 2: Convert to fraction form
    1,081.72/1,618.93 = 646.75/x
  3. Step 3: Cross multiply
    1,081.72x = 1,618.93 × 646.75
  4. Step 4: Simplify right side
    1,081.72x = 1,047,042.98
  5. Step 5: Solve for x
    x = 1,047,042.98/1,081.72
  6. Step 6: Final answer
    x = 967.94

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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.