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Finding the Fourth Proportional to 1,196.94, 1,796.10 and 503.55

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Solution

The fourth proportional to 1,196.94, 1,796.10 and 503.55 is: 755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.94 : 1,796.10 = 503.55 : x
  2. Step 2: Convert to fraction form
    1,196.94/1,796.10 = 503.55/x
  3. Step 3: Cross multiply
    1,196.94x = 1,796.10 × 503.55
  4. Step 4: Simplify right side
    1,196.94x = 904,426.16
  5. Step 5: Solve for x
    x = 904,426.16/1,196.94
  6. Step 6: Final answer
    x = 755.62

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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.