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Finding the Fourth Proportional to 829.50, 1,143.21 and 580.29

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Solution

The fourth proportional to 829.50, 1,143.21 and 580.29 is: 799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.50 : 1,143.21 = 580.29 : x
  2. Step 2: Convert to fraction form
    829.50/1,143.21 = 580.29/x
  3. Step 3: Cross multiply
    829.50x = 1,143.21 × 580.29
  4. Step 4: Simplify right side
    829.50x = 663,393.33
  5. Step 5: Solve for x
    x = 663,393.33/829.50
  6. Step 6: Final answer
    x = 799.75

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1.5x scale

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.