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Finding the Fourth Proportional to 1,290.62, 1,936.86 and 468.96

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Solution

The fourth proportional to 1,290.62, 1,936.86 and 468.96 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.62 : 1,936.86 = 468.96 : x
  2. Step 2: Convert to fraction form
    1,290.62/1,936.86 = 468.96/x
  3. Step 3: Cross multiply
    1,290.62x = 1,936.86 × 468.96
  4. Step 4: Simplify right side
    1,290.62x = 908,309.87
  5. Step 5: Solve for x
    x = 908,309.87/1,290.62
  6. Step 6: Final answer
    x = 703.78

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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.