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Finding the Fourth Proportional to 1,736.29, 2,604.46 and 640.65

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Solution

The fourth proportional to 1,736.29, 2,604.46 and 640.65 is: 960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.29 : 2,604.46 = 640.65 : x
  2. Step 2: Convert to fraction form
    1,736.29/2,604.46 = 640.65/x
  3. Step 3: Cross multiply
    1,736.29x = 2,604.46 × 640.65
  4. Step 4: Simplify right side
    1,736.29x = 1,668,547.30
  5. Step 5: Solve for x
    x = 1,668,547.30/1,736.29
  6. Step 6: Final answer
    x = 960.98

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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.