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Finding the Fourth Proportional to 1,230.69, 1,846.17 and 500.16

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Solution

The fourth proportional to 1,230.69, 1,846.17 and 500.16 is: 750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.69 : 1,846.17 = 500.16 : x
  2. Step 2: Convert to fraction form
    1,230.69/1,846.17 = 500.16/x
  3. Step 3: Cross multiply
    1,230.69x = 1,846.17 × 500.16
  4. Step 4: Simplify right side
    1,230.69x = 923,380.39
  5. Step 5: Solve for x
    x = 923,380.39/1,230.69
  6. Step 6: Final answer
    x = 750.29

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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.