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Finding the Fourth Proportional to 919.52, 1,268.94 and 505.52

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Solution

The fourth proportional to 919.52, 1,268.94 and 505.52 is: 697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.52 : 1,268.94 = 505.52 : x
  2. Step 2: Convert to fraction form
    919.52/1,268.94 = 505.52/x
  3. Step 3: Cross multiply
    919.52x = 1,268.94 × 505.52
  4. Step 4: Simplify right side
    919.52x = 641,474.55
  5. Step 5: Solve for x
    x = 641,474.55/919.52
  6. Step 6: Final answer
    x = 697.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.