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Finding the Fourth Proportional to 1,204.56, 1,662.29 and 785.62

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Solution

The fourth proportional to 1,204.56, 1,662.29 and 785.62 is: 1,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.56 : 1,662.29 = 785.62 : x
  2. Step 2: Convert to fraction form
    1,204.56/1,662.29 = 785.62/x
  3. Step 3: Cross multiply
    1,204.56x = 1,662.29 × 785.62
  4. Step 4: Simplify right side
    1,204.56x = 1,305,932.41
  5. Step 5: Solve for x
    x = 1,305,932.41/1,204.56
  6. Step 6: Final answer
    x = 1,084.16

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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.