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Finding the Fourth Proportional to 775.88, 1,164.06 and 263.24

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Solution

The fourth proportional to 775.88, 1,164.06 and 263.24 is: 394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.88 : 1,164.06 = 263.24 : x
  2. Step 2: Convert to fraction form
    775.88/1,164.06 = 263.24/x
  3. Step 3: Cross multiply
    775.88x = 1,164.06 × 263.24
  4. Step 4: Simplify right side
    775.88x = 306,427.15
  5. Step 5: Solve for x
    x = 306,427.15/775.88
  6. Step 6: Final answer
    x = 394.94

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Double scale
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1.5x scale

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.