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Finding the Fourth Proportional to 1,199.02, 1,654.45 and 667.83

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Solution

The fourth proportional to 1,199.02, 1,654.45 and 667.83 is: 921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.02 : 1,654.45 = 667.83 : x
  2. Step 2: Convert to fraction form
    1,199.02/1,654.45 = 667.83/x
  3. Step 3: Cross multiply
    1,199.02x = 1,654.45 × 667.83
  4. Step 4: Simplify right side
    1,199.02x = 1,104,891.34
  5. Step 5: Solve for x
    x = 1,104,891.34/1,199.02
  6. Step 6: Final answer
    x = 921.50

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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.