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Finding the Fourth Proportional to 1,232.05, 1,846.77 and 614.53

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Solution

The fourth proportional to 1,232.05, 1,846.77 and 614.53 is: 921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.05 : 1,846.77 = 614.53 : x
  2. Step 2: Convert to fraction form
    1,232.05/1,846.77 = 614.53/x
  3. Step 3: Cross multiply
    1,232.05x = 1,846.77 × 614.53
  4. Step 4: Simplify right side
    1,232.05x = 1,134,895.57
  5. Step 5: Solve for x
    x = 1,134,895.57/1,232.05
  6. Step 6: Final answer
    x = 921.14

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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.