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Finding the Fourth Proportional to 1,230.56, 1,846.05 and 614.69

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Solution

The fourth proportional to 1,230.56, 1,846.05 and 614.69 is: 922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.56 : 1,846.05 = 614.69 : x
  2. Step 2: Convert to fraction form
    1,230.56/1,846.05 = 614.69/x
  3. Step 3: Cross multiply
    1,230.56x = 1,846.05 × 614.69
  4. Step 4: Simplify right side
    1,230.56x = 1,134,745.40
  5. Step 5: Solve for x
    x = 1,134,745.40/1,230.56
  6. Step 6: Final answer
    x = 922.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.