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Finding the Fourth Proportional to 776.23, 1,163.33 and 410.92

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Solution

The fourth proportional to 776.23, 1,163.33 and 410.92 is: 615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.23 : 1,163.33 = 410.92 : x
  2. Step 2: Convert to fraction form
    776.23/1,163.33 = 410.92/x
  3. Step 3: Cross multiply
    776.23x = 1,163.33 × 410.92
  4. Step 4: Simplify right side
    776.23x = 478,027.69
  5. Step 5: Solve for x
    x = 478,027.69/776.23
  6. Step 6: Final answer
    x = 615.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.