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Finding the Fourth Proportional to 919.78, 1,268.67 and 588.07

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Solution

The fourth proportional to 919.78, 1,268.67 and 588.07 is: 811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.78 : 1,268.67 = 588.07 : x
  2. Step 2: Convert to fraction form
    919.78/1,268.67 = 588.07/x
  3. Step 3: Cross multiply
    919.78x = 1,268.67 × 588.07
  4. Step 4: Simplify right side
    919.78x = 746,057.48
  5. Step 5: Solve for x
    x = 746,057.48/919.78
  6. Step 6: Final answer
    x = 811.13

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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.