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Finding the Fourth Proportional to 1,281.98, 1,923.51 and 762.97

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Solution

The fourth proportional to 1,281.98, 1,923.51 and 762.97 is: 1,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.98 : 1,923.51 = 762.97 : x
  2. Step 2: Convert to fraction form
    1,281.98/1,923.51 = 762.97/x
  3. Step 3: Cross multiply
    1,281.98x = 1,923.51 × 762.97
  4. Step 4: Simplify right side
    1,281.98x = 1,467,580.42
  5. Step 5: Solve for x
    x = 1,467,580.42/1,281.98
  6. Step 6: Final answer
    x = 1,144.78

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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.