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Finding the Fourth Proportional to 986.23, 1,359.61 and 705.97

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Solution

The fourth proportional to 986.23, 1,359.61 and 705.97 is: 973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.23 : 1,359.61 = 705.97 : x
  2. Step 2: Convert to fraction form
    986.23/1,359.61 = 705.97/x
  3. Step 3: Cross multiply
    986.23x = 1,359.61 × 705.97
  4. Step 4: Simplify right side
    986.23x = 959,843.87
  5. Step 5: Solve for x
    x = 959,843.87/986.23
  6. Step 6: Final answer
    x = 973.25

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Why These Related Problems?

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