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Finding the Fourth Proportional to 1,094.34, 1,640.89 and 964.65

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Solution

The fourth proportional to 1,094.34, 1,640.89 and 964.65 is: 1,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.34 : 1,640.89 = 964.65 : x
  2. Step 2: Convert to fraction form
    1,094.34/1,640.89 = 964.65/x
  3. Step 3: Cross multiply
    1,094.34x = 1,640.89 × 964.65
  4. Step 4: Simplify right side
    1,094.34x = 1,582,879.72
  5. Step 5: Solve for x
    x = 1,582,879.72/1,094.34
  6. Step 6: Final answer
    x = 1,446.42

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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.