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Finding the Fourth Proportional to 775.86, 1,164.54 and 365.28

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Solution

The fourth proportional to 775.86, 1,164.54 and 365.28 is: 548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,164.54 = 365.28 : x
  2. Step 2: Convert to fraction form
    775.86/1,164.54 = 365.28/x
  3. Step 3: Cross multiply
    775.86x = 1,164.54 × 365.28
  4. Step 4: Simplify right side
    775.86x = 425,383.17
  5. Step 5: Solve for x
    x = 425,383.17/775.86
  6. Step 6: Final answer
    x = 548.27

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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.