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Finding the Fourth Proportional to 949.86, 1,421.82 and 719.64

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Solution

The fourth proportional to 949.86, 1,421.82 and 719.64 is: 1,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.86 : 1,421.82 = 719.64 : x
  2. Step 2: Convert to fraction form
    949.86/1,421.82 = 719.64/x
  3. Step 3: Cross multiply
    949.86x = 1,421.82 × 719.64
  4. Step 4: Simplify right side
    949.86x = 1,023,198.54
  5. Step 5: Solve for x
    x = 1,023,198.54/949.86
  6. Step 6: Final answer
    x = 1,077.21

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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.