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Finding the Fourth Proportional to 799.98, 1,104.15 and 505.19

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Solution

The fourth proportional to 799.98, 1,104.15 and 505.19 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.98 : 1,104.15 = 505.19 : x
  2. Step 2: Convert to fraction form
    799.98/1,104.15 = 505.19/x
  3. Step 3: Cross multiply
    799.98x = 1,104.15 × 505.19
  4. Step 4: Simplify right side
    799.98x = 557,807.35
  5. Step 5: Solve for x
    x = 557,807.35/799.98
  6. Step 6: Final answer
    x = 697.27

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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.