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Finding the Fourth Proportional to 941.97, 1,300.56 and 588.03

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Solution

The fourth proportional to 941.97, 1,300.56 and 588.03 is: 811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.97 : 1,300.56 = 588.03 : x
  2. Step 2: Convert to fraction form
    941.97/1,300.56 = 588.03/x
  3. Step 3: Cross multiply
    941.97x = 1,300.56 × 588.03
  4. Step 4: Simplify right side
    941.97x = 764,768.30
  5. Step 5: Solve for x
    x = 764,768.30/941.97
  6. Step 6: Final answer
    x = 811.88

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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.