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Finding the Fourth Proportional to 1,804.66, 2,706.99 and 488.41

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Solution

The fourth proportional to 1,804.66, 2,706.99 and 488.41 is: 732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.66 : 2,706.99 = 488.41 : x
  2. Step 2: Convert to fraction form
    1,804.66/2,706.99 = 488.41/x
  3. Step 3: Cross multiply
    1,804.66x = 2,706.99 × 488.41
  4. Step 4: Simplify right side
    1,804.66x = 1,322,120.99
  5. Step 5: Solve for x
    x = 1,322,120.99/1,804.66
  6. Step 6: Final answer
    x = 732.62

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Why These Related Problems?

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