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Finding the Fourth Proportional to 1,432.90, 2,149.68 and 445.66

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Solution

The fourth proportional to 1,432.90, 2,149.68 and 445.66 is: 668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.90 : 2,149.68 = 445.66 : x
  2. Step 2: Convert to fraction form
    1,432.90/2,149.68 = 445.66/x
  3. Step 3: Cross multiply
    1,432.90x = 2,149.68 × 445.66
  4. Step 4: Simplify right side
    1,432.90x = 958,026.39
  5. Step 5: Solve for x
    x = 958,026.39/1,432.90
  6. Step 6: Final answer
    x = 668.59

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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.