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Finding the Fourth Proportional to 1,243.11, 1,864.67 and 377.43

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Solution

The fourth proportional to 1,243.11, 1,864.67 and 377.43 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.11 : 1,864.67 = 377.43 : x
  2. Step 2: Convert to fraction form
    1,243.11/1,864.67 = 377.43/x
  3. Step 3: Cross multiply
    1,243.11x = 1,864.67 × 377.43
  4. Step 4: Simplify right side
    1,243.11x = 703,782.40
  5. Step 5: Solve for x
    x = 703,782.40/1,243.11
  6. Step 6: Final answer
    x = 566.15

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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.