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Finding the Fourth Proportional to 1,288.98, 1,933.76 and 423.09

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Solution

The fourth proportional to 1,288.98, 1,933.76 and 423.09 is: 634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.98 : 1,933.76 = 423.09 : x
  2. Step 2: Convert to fraction form
    1,288.98/1,933.76 = 423.09/x
  3. Step 3: Cross multiply
    1,288.98x = 1,933.76 × 423.09
  4. Step 4: Simplify right side
    1,288.98x = 818,154.52
  5. Step 5: Solve for x
    x = 818,154.52/1,288.98
  6. Step 6: Final answer
    x = 634.73

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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.