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Finding the Fourth Proportional to 919.89, 1,269.27 and 588.06

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Solution

The fourth proportional to 919.89, 1,269.27 and 588.06 is: 811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.89 : 1,269.27 = 588.06 : x
  2. Step 2: Convert to fraction form
    919.89/1,269.27 = 588.06/x
  3. Step 3: Cross multiply
    919.89x = 1,269.27 × 588.06
  4. Step 4: Simplify right side
    919.89x = 746,406.92
  5. Step 5: Solve for x
    x = 746,406.92/919.89
  6. Step 6: Final answer
    x = 811.41

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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.