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Finding the Fourth Proportional to 986.32, 1,361.64 and 675.28

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Solution

The fourth proportional to 986.32, 1,361.64 and 675.28 is: 932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.32 : 1,361.64 = 675.28 : x
  2. Step 2: Convert to fraction form
    986.32/1,361.64 = 675.28/x
  3. Step 3: Cross multiply
    986.32x = 1,361.64 × 675.28
  4. Step 4: Simplify right side
    986.32x = 919,488.26
  5. Step 5: Solve for x
    x = 919,488.26/986.32
  6. Step 6: Final answer
    x = 932.24

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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.