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Finding the Fourth Proportional to 799.98, 1,200.48 and 383.54

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Solution

The fourth proportional to 799.98, 1,200.48 and 383.54 is: 575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.98 : 1,200.48 = 383.54 : x
  2. Step 2: Convert to fraction form
    799.98/1,200.48 = 383.54/x
  3. Step 3: Cross multiply
    799.98x = 1,200.48 × 383.54
  4. Step 4: Simplify right side
    799.98x = 460,432.10
  5. Step 5: Solve for x
    x = 460,432.10/799.98
  6. Step 6: Final answer
    x = 575.55

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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.