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Finding the Fourth Proportional to 947.86, 1,421.70 and 582.46

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Solution

The fourth proportional to 947.86, 1,421.70 and 582.46 is: 873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.86 : 1,421.70 = 582.46 : x
  2. Step 2: Convert to fraction form
    947.86/1,421.70 = 582.46/x
  3. Step 3: Cross multiply
    947.86x = 1,421.70 × 582.46
  4. Step 4: Simplify right side
    947.86x = 828,083.38
  5. Step 5: Solve for x
    x = 828,083.38/947.86
  6. Step 6: Final answer
    x = 873.63

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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.