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Finding the Fourth Proportional to 775.93, 1,164.07 and 256.09

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Solution

The fourth proportional to 775.93, 1,164.07 and 256.09 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.93 : 1,164.07 = 256.09 : x
  2. Step 2: Convert to fraction form
    775.93/1,164.07 = 256.09/x
  3. Step 3: Cross multiply
    775.93x = 1,164.07 × 256.09
  4. Step 4: Simplify right side
    775.93x = 298,103.14
  5. Step 5: Solve for x
    x = 298,103.14/775.93
  6. Step 6: Final answer
    x = 384.19

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