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Finding the Fourth Proportional to 1,288.98, 1,933.46 and 315.08

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Solution

The fourth proportional to 1,288.98, 1,933.46 and 315.08 is: 472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.98 : 1,933.46 = 315.08 : x
  2. Step 2: Convert to fraction form
    1,288.98/1,933.46 = 315.08/x
  3. Step 3: Cross multiply
    1,288.98x = 1,933.46 × 315.08
  4. Step 4: Simplify right side
    1,288.98x = 609,183.33
  5. Step 5: Solve for x
    x = 609,183.33/1,288.98
  6. Step 6: Final answer
    x = 472.61

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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.