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Finding the Fourth Proportional to 796.20, 1,099.04 and 526.96

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Solution

The fourth proportional to 796.20, 1,099.04 and 526.96 is: 727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.20 : 1,099.04 = 526.96 : x
  2. Step 2: Convert to fraction form
    796.20/1,099.04 = 526.96/x
  3. Step 3: Cross multiply
    796.20x = 1,099.04 × 526.96
  4. Step 4: Simplify right side
    796.20x = 579,150.12
  5. Step 5: Solve for x
    x = 579,150.12/796.20
  6. Step 6: Final answer
    x = 727.39

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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.