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Finding the Fourth Proportional to 1,197.47, 1,796.24 and 503.37

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Solution

The fourth proportional to 1,197.47, 1,796.24 and 503.37 is: 755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.47 : 1,796.24 = 503.37 : x
  2. Step 2: Convert to fraction form
    1,197.47/1,796.24 = 503.37/x
  3. Step 3: Cross multiply
    1,197.47x = 1,796.24 × 503.37
  4. Step 4: Simplify right side
    1,197.47x = 904,170.81
  5. Step 5: Solve for x
    x = 904,170.81/1,197.47
  6. Step 6: Final answer
    x = 755.07

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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.