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Finding the Fourth Proportional to 1,289.27, 1,933.94 and 315.37

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Solution

The fourth proportional to 1,289.27, 1,933.94 and 315.37 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.27 : 1,933.94 = 315.37 : x
  2. Step 2: Convert to fraction form
    1,289.27/1,933.94 = 315.37/x
  3. Step 3: Cross multiply
    1,289.27x = 1,933.94 × 315.37
  4. Step 4: Simplify right side
    1,289.27x = 609,900.64
  5. Step 5: Solve for x
    x = 609,900.64/1,289.27
  6. Step 6: Final answer
    x = 473.06

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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.