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Finding the Fourth Proportional to 1,196.31, 1,794.13 and 503.14

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Solution

The fourth proportional to 1,196.31, 1,794.13 and 503.14 is: 754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.31 : 1,794.13 = 503.14 : x
  2. Step 2: Convert to fraction form
    1,196.31/1,794.13 = 503.14/x
  3. Step 3: Cross multiply
    1,196.31x = 1,794.13 × 503.14
  4. Step 4: Simplify right side
    1,196.31x = 902,698.57
  5. Step 5: Solve for x
    x = 902,698.57/1,196.31
  6. Step 6: Final answer
    x = 754.57

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