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Finding the Fourth Proportional to 799.01, 1,196.18 and 594.48

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Solution

The fourth proportional to 799.01, 1,196.18 and 594.48 is: 889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.01 : 1,196.18 = 594.48 : x
  2. Step 2: Convert to fraction form
    799.01/1,196.18 = 594.48/x
  3. Step 3: Cross multiply
    799.01x = 1,196.18 × 594.48
  4. Step 4: Simplify right side
    799.01x = 711,105.09
  5. Step 5: Solve for x
    x = 711,105.09/799.01
  6. Step 6: Final answer
    x = 889.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.