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Finding the Fourth Proportional to 1,149.38, 1,723.46 and 456.02

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Solution

The fourth proportional to 1,149.38, 1,723.46 and 456.02 is: 683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.38 : 1,723.46 = 456.02 : x
  2. Step 2: Convert to fraction form
    1,149.38/1,723.46 = 456.02/x
  3. Step 3: Cross multiply
    1,149.38x = 1,723.46 × 456.02
  4. Step 4: Simplify right side
    1,149.38x = 785,932.23
  5. Step 5: Solve for x
    x = 785,932.23/1,149.38
  6. Step 6: Final answer
    x = 683.79

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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.