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Finding the Fourth Proportional to 1,197.01, 1,796.20 and 503.63

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Solution

The fourth proportional to 1,197.01, 1,796.20 and 503.63 is: 755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.01 : 1,796.20 = 503.63 : x
  2. Step 2: Convert to fraction form
    1,197.01/1,796.20 = 503.63/x
  3. Step 3: Cross multiply
    1,197.01x = 1,796.20 × 503.63
  4. Step 4: Simplify right side
    1,197.01x = 904,619.53
  5. Step 5: Solve for x
    x = 904,619.53/1,197.01
  6. Step 6: Final answer
    x = 755.74

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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.