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Finding the Fourth Proportional to 1,285.03, 1,926.57 and 451.87

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Solution

The fourth proportional to 1,285.03, 1,926.57 and 451.87 is: 677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.03 : 1,926.57 = 451.87 : x
  2. Step 2: Convert to fraction form
    1,285.03/1,926.57 = 451.87/x
  3. Step 3: Cross multiply
    1,285.03x = 1,926.57 × 451.87
  4. Step 4: Simplify right side
    1,285.03x = 870,559.19
  5. Step 5: Solve for x
    x = 870,559.19/1,285.03
  6. Step 6: Final answer
    x = 677.46

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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.