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Finding the Fourth Proportional to 1,380.68, 2,071.34 and 456.20

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Solution

The fourth proportional to 1,380.68, 2,071.34 and 456.20 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.68 : 2,071.34 = 456.20 : x
  2. Step 2: Convert to fraction form
    1,380.68/2,071.34 = 456.20/x
  3. Step 3: Cross multiply
    1,380.68x = 2,071.34 × 456.20
  4. Step 4: Simplify right side
    1,380.68x = 944,945.31
  5. Step 5: Solve for x
    x = 944,945.31/1,380.68
  6. Step 6: Final answer
    x = 684.41

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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.