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Finding the Fourth Proportional to 1,381, 2,071.76 and 456.52

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Solution

The fourth proportional to 1,381, 2,071.76 and 456.52 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381 : 2,071.76 = 456.52 : x
  2. Step 2: Convert to fraction form
    1,381/2,071.76 = 456.52/x
  3. Step 3: Cross multiply
    1,381x = 2,071.76 × 456.52
  4. Step 4: Simplify right side
    1,381x = 945,799.88
  5. Step 5: Solve for x
    x = 945,799.88/1,381
  6. Step 6: Final answer
    x = 684.87

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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.