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Finding the Fourth Proportional to 776.22, 1,164.50 and 365.13

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Solution

The fourth proportional to 776.22, 1,164.50 and 365.13 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.22 : 1,164.50 = 365.13 : x
  2. Step 2: Convert to fraction form
    776.22/1,164.50 = 365.13/x
  3. Step 3: Cross multiply
    776.22x = 1,164.50 × 365.13
  4. Step 4: Simplify right side
    776.22x = 425,197.73
  5. Step 5: Solve for x
    x = 425,197.73/776.22
  6. Step 6: Final answer
    x = 547.78

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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.