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Finding the Fourth Proportional to 919.63, 1,268.58 and 582.91

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Solution

The fourth proportional to 919.63, 1,268.58 and 582.91 is: 804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.63 : 1,268.58 = 582.91 : x
  2. Step 2: Convert to fraction form
    919.63/1,268.58 = 582.91/x
  3. Step 3: Cross multiply
    919.63x = 1,268.58 × 582.91
  4. Step 4: Simplify right side
    919.63x = 739,467.97
  5. Step 5: Solve for x
    x = 739,467.97/919.63
  6. Step 6: Final answer
    x = 804.09

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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.