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Finding the Fourth Proportional to 829.37, 1,143.95 and 580.75

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Solution

The fourth proportional to 829.37, 1,143.95 and 580.75 is: 801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.37 : 1,143.95 = 580.75 : x
  2. Step 2: Convert to fraction form
    829.37/1,143.95 = 580.75/x
  3. Step 3: Cross multiply
    829.37x = 1,143.95 × 580.75
  4. Step 4: Simplify right side
    829.37x = 664,348.96
  5. Step 5: Solve for x
    x = 664,348.96/829.37
  6. Step 6: Final answer
    x = 801.03

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Double scale
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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.