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Finding the Fourth Proportional to 1,394.33, 2,091.63 and 517.06

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Solution

The fourth proportional to 1,394.33, 2,091.63 and 517.06 is: 775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.33 : 2,091.63 = 517.06 : x
  2. Step 2: Convert to fraction form
    1,394.33/2,091.63 = 517.06/x
  3. Step 3: Cross multiply
    1,394.33x = 2,091.63 × 517.06
  4. Step 4: Simplify right side
    1,394.33x = 1,081,502.76
  5. Step 5: Solve for x
    x = 1,081,502.76/1,394.33
  6. Step 6: Final answer
    x = 775.65

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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.