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Finding the Fourth Proportional to 774.81, 1,162.62 and 409.64

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Solution

The fourth proportional to 774.81, 1,162.62 and 409.64 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.81 : 1,162.62 = 409.64 : x
  2. Step 2: Convert to fraction form
    774.81/1,162.62 = 409.64/x
  3. Step 3: Cross multiply
    774.81x = 1,162.62 × 409.64
  4. Step 4: Simplify right side
    774.81x = 476,249.84
  5. Step 5: Solve for x
    x = 476,249.84/774.81
  6. Step 6: Final answer
    x = 614.67

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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.