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Finding the Fourth Proportional to 1,421.69, 2,132.87 and 447.77

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Solution

The fourth proportional to 1,421.69, 2,132.87 and 447.77 is: 671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.69 : 2,132.87 = 447.77 : x
  2. Step 2: Convert to fraction form
    1,421.69/2,132.87 = 447.77/x
  3. Step 3: Cross multiply
    1,421.69x = 2,132.87 × 447.77
  4. Step 4: Simplify right side
    1,421.69x = 955,022.30
  5. Step 5: Solve for x
    x = 955,022.30/1,421.69
  6. Step 6: Final answer
    x = 671.75

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