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Finding the Fourth Proportional to 1,381.29, 2,072.24 and 456.94

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Solution

The fourth proportional to 1,381.29, 2,072.24 and 456.94 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.29 : 2,072.24 = 456.94 : x
  2. Step 2: Convert to fraction form
    1,381.29/2,072.24 = 456.94/x
  3. Step 3: Cross multiply
    1,381.29x = 2,072.24 × 456.94
  4. Step 4: Simplify right side
    1,381.29x = 946,887.06
  5. Step 5: Solve for x
    x = 946,887.06/1,381.29
  6. Step 6: Final answer
    x = 685.51

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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.