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Finding the Fourth Proportional to 796.16, 1,098.50 and 464.54

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Solution

The fourth proportional to 796.16, 1,098.50 and 464.54 is: 640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.16 : 1,098.50 = 464.54 : x
  2. Step 2: Convert to fraction form
    796.16/1,098.50 = 464.54/x
  3. Step 3: Cross multiply
    796.16x = 1,098.50 × 464.54
  4. Step 4: Simplify right side
    796.16x = 510,297.19
  5. Step 5: Solve for x
    x = 510,297.19/796.16
  6. Step 6: Final answer
    x = 640.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.