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Finding the Fourth Proportional to 776.16, 1,163.89 and 410.86

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Solution

The fourth proportional to 776.16, 1,163.89 and 410.86 is: 616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,163.89 = 410.86 : x
  2. Step 2: Convert to fraction form
    776.16/1,163.89 = 410.86/x
  3. Step 3: Cross multiply
    776.16x = 1,163.89 × 410.86
  4. Step 4: Simplify right side
    776.16x = 478,197.33
  5. Step 5: Solve for x
    x = 478,197.33/776.16
  6. Step 6: Final answer
    x = 616.11

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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.