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Finding the Fourth Proportional to 776.47, 1,163.12 and 385.29

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Solution

The fourth proportional to 776.47, 1,163.12 and 385.29 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.47 : 1,163.12 = 385.29 : x
  2. Step 2: Convert to fraction form
    776.47/1,163.12 = 385.29/x
  3. Step 3: Cross multiply
    776.47x = 1,163.12 × 385.29
  4. Step 4: Simplify right side
    776.47x = 448,132.69
  5. Step 5: Solve for x
    x = 448,132.69/776.47
  6. Step 6: Final answer
    x = 577.14

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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.