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Finding the Fourth Proportional to 775.04, 1,161.38 and 466.55

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Solution

The fourth proportional to 775.04, 1,161.38 and 466.55 is: 699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.04 : 1,161.38 = 466.55 : x
  2. Step 2: Convert to fraction form
    775.04/1,161.38 = 466.55/x
  3. Step 3: Cross multiply
    775.04x = 1,161.38 × 466.55
  4. Step 4: Simplify right side
    775.04x = 541,837.20
  5. Step 5: Solve for x
    x = 541,837.20/775.04
  6. Step 6: Final answer
    x = 699.11

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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.