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Finding the Fourth Proportional to 1,308.06, 1,961.46 and 486

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Solution

The fourth proportional to 1,308.06, 1,961.46 and 486 is: 728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.06 : 1,961.46 = 486 : x
  2. Step 2: Convert to fraction form
    1,308.06/1,961.46 = 486/x
  3. Step 3: Cross multiply
    1,308.06x = 1,961.46 × 486
  4. Step 4: Simplify right side
    1,308.06x = 953,269.56
  5. Step 5: Solve for x
    x = 953,269.56/1,308.06
  6. Step 6: Final answer
    x = 728.77

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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.