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Finding the Fourth Proportional to 799.63, 1,197.40 and 524.92

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Solution

The fourth proportional to 799.63, 1,197.40 and 524.92 is: 786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.63 : 1,197.40 = 524.92 : x
  2. Step 2: Convert to fraction form
    799.63/1,197.40 = 524.92/x
  3. Step 3: Cross multiply
    799.63x = 1,197.40 × 524.92
  4. Step 4: Simplify right side
    799.63x = 628,539.21
  5. Step 5: Solve for x
    x = 628,539.21/799.63
  6. Step 6: Final answer
    x = 786.04

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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.