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Finding the Fourth Proportional to 799.08, 1,102.48 and 467.47

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Solution

The fourth proportional to 799.08, 1,102.48 and 467.47 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.08 : 1,102.48 = 467.47 : x
  2. Step 2: Convert to fraction form
    799.08/1,102.48 = 467.47/x
  3. Step 3: Cross multiply
    799.08x = 1,102.48 × 467.47
  4. Step 4: Simplify right side
    799.08x = 515,368.48
  5. Step 5: Solve for x
    x = 515,368.48/799.08
  6. Step 6: Final answer
    x = 644.96

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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.