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Finding the Fourth Proportional to 1,425.64, 2,138.77 and 451.75

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Solution

The fourth proportional to 1,425.64, 2,138.77 and 451.75 is: 677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.64 : 2,138.77 = 451.75 : x
  2. Step 2: Convert to fraction form
    1,425.64/2,138.77 = 451.75/x
  3. Step 3: Cross multiply
    1,425.64x = 2,138.77 × 451.75
  4. Step 4: Simplify right side
    1,425.64x = 966,189.35
  5. Step 5: Solve for x
    x = 966,189.35/1,425.64
  6. Step 6: Final answer
    x = 677.72

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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.