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Finding the Fourth Proportional to 1,232.14, 1,846.61 and 501.31

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Solution

The fourth proportional to 1,232.14, 1,846.61 and 501.31 is: 751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.14 : 1,846.61 = 501.31 : x
  2. Step 2: Convert to fraction form
    1,232.14/1,846.61 = 501.31/x
  3. Step 3: Cross multiply
    1,232.14x = 1,846.61 × 501.31
  4. Step 4: Simplify right side
    1,232.14x = 925,724.06
  5. Step 5: Solve for x
    x = 925,724.06/1,232.14
  6. Step 6: Final answer
    x = 751.31

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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.