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Finding the Fourth Proportional to 775.91, 1,164.00 and 255.77

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Solution

The fourth proportional to 775.91, 1,164.00 and 255.77 is: 383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.91 : 1,164.00 = 255.77 : x
  2. Step 2: Convert to fraction form
    775.91/1,164.00 = 255.77/x
  3. Step 3: Cross multiply
    775.91x = 1,164.00 × 255.77
  4. Step 4: Simplify right side
    775.91x = 297,715.78
  5. Step 5: Solve for x
    x = 297,715.78/775.91
  6. Step 6: Final answer
    x = 383.70

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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.