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Finding the Fourth Proportional to 985.58, 1,475.62 and 799.37

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Solution

The fourth proportional to 985.58, 1,475.62 and 799.37 is: 1,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.58 : 1,475.62 = 799.37 : x
  2. Step 2: Convert to fraction form
    985.58/1,475.62 = 799.37/x
  3. Step 3: Cross multiply
    985.58x = 1,475.62 × 799.37
  4. Step 4: Simplify right side
    985.58x = 1,179,566.36
  5. Step 5: Solve for x
    x = 1,179,566.36/985.58
  6. Step 6: Final answer
    x = 1,196.82

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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.