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Finding the Fourth Proportional to 947.98, 1,421.04 and 453.82

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Solution

The fourth proportional to 947.98, 1,421.04 and 453.82 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.98 : 1,421.04 = 453.82 : x
  2. Step 2: Convert to fraction form
    947.98/1,421.04 = 453.82/x
  3. Step 3: Cross multiply
    947.98x = 1,421.04 × 453.82
  4. Step 4: Simplify right side
    947.98x = 644,891.69
  5. Step 5: Solve for x
    x = 644,891.69/947.98
  6. Step 6: Final answer
    x = 680.28

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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.