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Finding the Fourth Proportional to 927.12, 1,389.99 and 341.81

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Solution

The fourth proportional to 927.12, 1,389.99 and 341.81 is: 512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.12 : 1,389.99 = 341.81 : x
  2. Step 2: Convert to fraction form
    927.12/1,389.99 = 341.81/x
  3. Step 3: Cross multiply
    927.12x = 1,389.99 × 341.81
  4. Step 4: Simplify right side
    927.12x = 475,112.03
  5. Step 5: Solve for x
    x = 475,112.03/927.12
  6. Step 6: Final answer
    x = 512.46

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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.