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Finding the Fourth Proportional to 796.80, 1,099.60 and 502.24

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Solution

The fourth proportional to 796.80, 1,099.60 and 502.24 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,099.60 = 502.24 : x
  2. Step 2: Convert to fraction form
    796.80/1,099.60 = 502.24/x
  3. Step 3: Cross multiply
    796.80x = 1,099.60 × 502.24
  4. Step 4: Simplify right side
    796.80x = 552,263.10
  5. Step 5: Solve for x
    x = 552,263.10/796.80
  6. Step 6: Final answer
    x = 693.10

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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.