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Finding the Fourth Proportional to 1,197.83, 1,796.75 and 504.32

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Solution

The fourth proportional to 1,197.83, 1,796.75 and 504.32 is: 756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.83 : 1,796.75 = 504.32 : x
  2. Step 2: Convert to fraction form
    1,197.83/1,796.75 = 504.32/x
  3. Step 3: Cross multiply
    1,197.83x = 1,796.75 × 504.32
  4. Step 4: Simplify right side
    1,197.83x = 906,125.45
  5. Step 5: Solve for x
    x = 906,125.45/1,197.83
  6. Step 6: Final answer
    x = 756.48

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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.