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Finding the Fourth Proportional to 775.21, 1,162.81 and 623.15

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Solution

The fourth proportional to 775.21, 1,162.81 and 623.15 is: 934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.21 : 1,162.81 = 623.15 : x
  2. Step 2: Convert to fraction form
    775.21/1,162.81 = 623.15/x
  3. Step 3: Cross multiply
    775.21x = 1,162.81 × 623.15
  4. Step 4: Simplify right side
    775.21x = 724,599.24
  5. Step 5: Solve for x
    x = 724,599.24/775.21
  6. Step 6: Final answer
    x = 934.72

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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.