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Finding the Fourth Proportional to 947.78, 1,421.72 and 298.57

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Solution

The fourth proportional to 947.78, 1,421.72 and 298.57 is: 447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.78 : 1,421.72 = 298.57 : x
  2. Step 2: Convert to fraction form
    947.78/1,421.72 = 298.57/x
  3. Step 3: Cross multiply
    947.78x = 1,421.72 × 298.57
  4. Step 4: Simplify right side
    947.78x = 424,480.13
  5. Step 5: Solve for x
    x = 424,480.13/947.78
  6. Step 6: Final answer
    x = 447.87

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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.