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Finding the Fourth Proportional to 1,381.56, 2,072.30 and 456.74

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Solution

The fourth proportional to 1,381.56, 2,072.30 and 456.74 is: 685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.56 : 2,072.30 = 456.74 : x
  2. Step 2: Convert to fraction form
    1,381.56/2,072.30 = 456.74/x
  3. Step 3: Cross multiply
    1,381.56x = 2,072.30 × 456.74
  4. Step 4: Simplify right side
    1,381.56x = 946,500.00
  5. Step 5: Solve for x
    x = 946,500.00/1,381.56
  6. Step 6: Final answer
    x = 685.10

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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.