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Finding the Fourth Proportional to 1,036.73, 1,429.56 and 704.49

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Solution

The fourth proportional to 1,036.73, 1,429.56 and 704.49 is: 971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.73 : 1,429.56 = 704.49 : x
  2. Step 2: Convert to fraction form
    1,036.73/1,429.56 = 704.49/x
  3. Step 3: Cross multiply
    1,036.73x = 1,429.56 × 704.49
  4. Step 4: Simplify right side
    1,036.73x = 1,007,110.72
  5. Step 5: Solve for x
    x = 1,007,110.72/1,036.73
  6. Step 6: Final answer
    x = 971.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.