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Finding the Fourth Proportional to 1,232.51, 1,849.08 and 366.80

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Solution

The fourth proportional to 1,232.51, 1,849.08 and 366.80 is: 550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.51 : 1,849.08 = 366.80 : x
  2. Step 2: Convert to fraction form
    1,232.51/1,849.08 = 366.80/x
  3. Step 3: Cross multiply
    1,232.51x = 1,849.08 × 366.80
  4. Step 4: Simplify right side
    1,232.51x = 678,233.30
  5. Step 5: Solve for x
    x = 678,233.30/1,232.51
  6. Step 6: Final answer
    x = 550.29

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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.