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Finding the Fourth Proportional to 827.60, 1,238.96 and 653.04

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Solution

The fourth proportional to 827.60, 1,238.96 and 653.04 is: 977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.60 : 1,238.96 = 653.04 : x
  2. Step 2: Convert to fraction form
    827.60/1,238.96 = 653.04/x
  3. Step 3: Cross multiply
    827.60x = 1,238.96 × 653.04
  4. Step 4: Simplify right side
    827.60x = 809,090.44
  5. Step 5: Solve for x
    x = 809,090.44/827.60
  6. Step 6: Final answer
    x = 977.64

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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.