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Finding the Fourth Proportional to 829.57, 1,143.59 and 580.11

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Solution

The fourth proportional to 829.57, 1,143.59 and 580.11 is: 799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.57 : 1,143.59 = 580.11 : x
  2. Step 2: Convert to fraction form
    829.57/1,143.59 = 580.11/x
  3. Step 3: Cross multiply
    829.57x = 1,143.59 × 580.11
  4. Step 4: Simplify right side
    829.57x = 663,407.99
  5. Step 5: Solve for x
    x = 663,407.99/829.57
  6. Step 6: Final answer
    x = 799.71

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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.