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Finding the Fourth Proportional to 1,197.32, 1,796.07 and 503.85

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Solution

The fourth proportional to 1,197.32, 1,796.07 and 503.85 is: 755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.32 : 1,796.07 = 503.85 : x
  2. Step 2: Convert to fraction form
    1,197.32/1,796.07 = 503.85/x
  3. Step 3: Cross multiply
    1,197.32x = 1,796.07 × 503.85
  4. Step 4: Simplify right side
    1,197.32x = 904,958.49
  5. Step 5: Solve for x
    x = 904,958.49/1,197.32
  6. Step 6: Final answer
    x = 755.82

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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.