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Finding the Fourth Proportional to 1,205.67, 1,663.20 and 762.81

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Solution

The fourth proportional to 1,205.67, 1,663.20 and 762.81 is: 1,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.67 : 1,663.20 = 762.81 : x
  2. Step 2: Convert to fraction form
    1,205.67/1,663.20 = 762.81/x
  3. Step 3: Cross multiply
    1,205.67x = 1,663.20 × 762.81
  4. Step 4: Simplify right side
    1,205.67x = 1,268,705.59
  5. Step 5: Solve for x
    x = 1,268,705.59/1,205.67
  6. Step 6: Final answer
    x = 1,052.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.