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Finding the Fourth Proportional to 704.73, 973.04 and 456.19

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Solution

The fourth proportional to 704.73, 973.04 and 456.19 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.73 : 973.04 = 456.19 : x
  2. Step 2: Convert to fraction form
    704.73/973.04 = 456.19/x
  3. Step 3: Cross multiply
    704.73x = 973.04 × 456.19
  4. Step 4: Simplify right side
    704.73x = 443,891.12
  5. Step 5: Solve for x
    x = 443,891.12/704.73
  6. Step 6: Final answer
    x = 629.87

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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.