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Finding the Fourth Proportional to 796.99, 1,196.03 and 412.51

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Solution

The fourth proportional to 796.99, 1,196.03 and 412.51 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.99 : 1,196.03 = 412.51 : x
  2. Step 2: Convert to fraction form
    796.99/1,196.03 = 412.51/x
  3. Step 3: Cross multiply
    796.99x = 1,196.03 × 412.51
  4. Step 4: Simplify right side
    796.99x = 493,374.34
  5. Step 5: Solve for x
    x = 493,374.34/796.99
  6. Step 6: Final answer
    x = 619.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.