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Finding the Fourth Proportional to 947.82, 1,421.49 and 298.55

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Solution

The fourth proportional to 947.82, 1,421.49 and 298.55 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.82 : 1,421.49 = 298.55 : x
  2. Step 2: Convert to fraction form
    947.82/1,421.49 = 298.55/x
  3. Step 3: Cross multiply
    947.82x = 1,421.49 × 298.55
  4. Step 4: Simplify right side
    947.82x = 424,385.84
  5. Step 5: Solve for x
    x = 424,385.84/947.82
  6. Step 6: Final answer
    x = 447.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.