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Finding the Fourth Proportional to 654.28, 901.94 and 580.48

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Solution

The fourth proportional to 654.28, 901.94 and 580.48 is: 800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.28 : 901.94 = 580.48 : x
  2. Step 2: Convert to fraction form
    654.28/901.94 = 580.48/x
  3. Step 3: Cross multiply
    654.28x = 901.94 × 580.48
  4. Step 4: Simplify right side
    654.28x = 523,558.13
  5. Step 5: Solve for x
    x = 523,558.13/654.28
  6. Step 6: Final answer
    x = 800.21

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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.