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Finding the Fourth Proportional to 1,071.20, 1,606.81 and 486.18

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Solution

The fourth proportional to 1,071.20, 1,606.81 and 486.18 is: 729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.20 : 1,606.81 = 486.18 : x
  2. Step 2: Convert to fraction form
    1,071.20/1,606.81 = 486.18/x
  3. Step 3: Cross multiply
    1,071.20x = 1,606.81 × 486.18
  4. Step 4: Simplify right side
    1,071.20x = 781,195.43
  5. Step 5: Solve for x
    x = 781,195.43/1,071.20
  6. Step 6: Final answer
    x = 729.27

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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.