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Finding the Fourth Proportional to 774.04, 1,160.16 and 384.22

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Solution

The fourth proportional to 774.04, 1,160.16 and 384.22 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.04 : 1,160.16 = 384.22 : x
  2. Step 2: Convert to fraction form
    774.04/1,160.16 = 384.22/x
  3. Step 3: Cross multiply
    774.04x = 1,160.16 × 384.22
  4. Step 4: Simplify right side
    774.04x = 445,756.68
  5. Step 5: Solve for x
    x = 445,756.68/774.04
  6. Step 6: Final answer
    x = 575.88

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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.