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Finding the Fourth Proportional to 796.36, 1,098.18 and 485.80

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Solution

The fourth proportional to 796.36, 1,098.18 and 485.80 is: 669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.36 : 1,098.18 = 485.80 : x
  2. Step 2: Convert to fraction form
    796.36/1,098.18 = 485.80/x
  3. Step 3: Cross multiply
    796.36x = 1,098.18 × 485.80
  4. Step 4: Simplify right side
    796.36x = 533,495.84
  5. Step 5: Solve for x
    x = 533,495.84/796.36
  6. Step 6: Final answer
    x = 669.92

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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.