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Finding the Fourth Proportional to 1,246.26, 1,869.84 and 596.55

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Solution

The fourth proportional to 1,246.26, 1,869.84 and 596.55 is: 895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.26 : 1,869.84 = 596.55 : x
  2. Step 2: Convert to fraction form
    1,246.26/1,869.84 = 596.55/x
  3. Step 3: Cross multiply
    1,246.26x = 1,869.84 × 596.55
  4. Step 4: Simplify right side
    1,246.26x = 1,115,453.05
  5. Step 5: Solve for x
    x = 1,115,453.05/1,246.26
  6. Step 6: Final answer
    x = 895.04

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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.