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Finding the Fourth Proportional to 775.21, 1,162.82 and 336.10

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Solution

The fourth proportional to 775.21, 1,162.82 and 336.10 is: 504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.21 : 1,162.82 = 336.10 : x
  2. Step 2: Convert to fraction form
    775.21/1,162.82 = 336.10/x
  3. Step 3: Cross multiply
    775.21x = 1,162.82 × 336.10
  4. Step 4: Simplify right side
    775.21x = 390,823.80
  5. Step 5: Solve for x
    x = 390,823.80/775.21
  6. Step 6: Final answer
    x = 504.15

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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.