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Finding the Fourth Proportional to 842.94, 1,163.33 and 580.50

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Solution

The fourth proportional to 842.94, 1,163.33 and 580.50 is: 801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.94 : 1,163.33 = 580.50 : x
  2. Step 2: Convert to fraction form
    842.94/1,163.33 = 580.50/x
  3. Step 3: Cross multiply
    842.94x = 1,163.33 × 580.50
  4. Step 4: Simplify right side
    842.94x = 675,312.34
  5. Step 5: Solve for x
    x = 675,312.34/842.94
  6. Step 6: Final answer
    x = 801.14

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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.