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Finding the Fourth Proportional to 919.27, 1,268.60 and 526.30

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Solution

The fourth proportional to 919.27, 1,268.60 and 526.30 is: 726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.27 : 1,268.60 = 526.30 : x
  2. Step 2: Convert to fraction form
    919.27/1,268.60 = 526.30/x
  3. Step 3: Cross multiply
    919.27x = 1,268.60 × 526.30
  4. Step 4: Simplify right side
    919.27x = 667,661.94
  5. Step 5: Solve for x
    x = 667,661.94/919.27
  6. Step 6: Final answer
    x = 726.29

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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.