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Finding the Fourth Proportional to 1,226.78, 1,693.13 and 785.96

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Solution

The fourth proportional to 1,226.78, 1,693.13 and 785.96 is: 1,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.78 : 1,693.13 = 785.96 : x
  2. Step 2: Convert to fraction form
    1,226.78/1,693.13 = 785.96/x
  3. Step 3: Cross multiply
    1,226.78x = 1,693.13 × 785.96
  4. Step 4: Simplify right side
    1,226.78x = 1,330,720.06
  5. Step 5: Solve for x
    x = 1,330,720.06/1,226.78
  6. Step 6: Final answer
    x = 1,084.73

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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.