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Finding the Fourth Proportional to 1,156, 1,733.26 and 982.73

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Solution

The fourth proportional to 1,156, 1,733.26 and 982.73 is: 1,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156 : 1,733.26 = 982.73 : x
  2. Step 2: Convert to fraction form
    1,156/1,733.26 = 982.73/x
  3. Step 3: Cross multiply
    1,156x = 1,733.26 × 982.73
  4. Step 4: Simplify right side
    1,156x = 1,703,326.60
  5. Step 5: Solve for x
    x = 1,703,326.60/1,156
  6. Step 6: Final answer
    x = 1,473.47

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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.