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Finding the Fourth Proportional to 1,197.29, 1,783.30 and 1,143.98

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Solution

The fourth proportional to 1,197.29, 1,783.30 and 1,143.98 is: 1,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.29 : 1,783.30 = 1,143.98 : x
  2. Step 2: Convert to fraction form
    1,197.29/1,783.30 = 1,143.98/x
  3. Step 3: Cross multiply
    1,197.29x = 1,783.30 × 1,143.98
  4. Step 4: Simplify right side
    1,197.29x = 2,040,059.53
  5. Step 5: Solve for x
    x = 2,040,059.53/1,197.29
  6. Step 6: Final answer
    x = 1,703.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.