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Finding the Fourth Proportional to 1,284.27, 1,925.45 and 451.11

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Solution

The fourth proportional to 1,284.27, 1,925.45 and 451.11 is: 676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.27 : 1,925.45 = 451.11 : x
  2. Step 2: Convert to fraction form
    1,284.27/1,925.45 = 451.11/x
  3. Step 3: Cross multiply
    1,284.27x = 1,925.45 × 451.11
  4. Step 4: Simplify right side
    1,284.27x = 868,589.75
  5. Step 5: Solve for x
    x = 868,589.75/1,284.27
  6. Step 6: Final answer
    x = 676.33

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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.