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Finding the Fourth Proportional to 1,678.25, 2,517.73 and 703.79

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Solution

The fourth proportional to 1,678.25, 2,517.73 and 703.79 is: 1,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.25 : 2,517.73 = 703.79 : x
  2. Step 2: Convert to fraction form
    1,678.25/2,517.73 = 703.79/x
  3. Step 3: Cross multiply
    1,678.25x = 2,517.73 × 703.79
  4. Step 4: Simplify right side
    1,678.25x = 1,771,938.85
  5. Step 5: Solve for x
    x = 1,771,938.85/1,678.25
  6. Step 6: Final answer
    x = 1,055.83

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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.