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Finding the Fourth Proportional to 947.23, 1,421.28 and 582.73

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Solution

The fourth proportional to 947.23, 1,421.28 and 582.73 is: 874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.23 : 1,421.28 = 582.73 : x
  2. Step 2: Convert to fraction form
    947.23/1,421.28 = 582.73/x
  3. Step 3: Cross multiply
    947.23x = 1,421.28 × 582.73
  4. Step 4: Simplify right side
    947.23x = 828,218.94
  5. Step 5: Solve for x
    x = 828,218.94/947.23
  6. Step 6: Final answer
    x = 874.36

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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.