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Finding the Fourth Proportional to 1,809.72, 2,712.75 and 713.65

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Solution

The fourth proportional to 1,809.72, 2,712.75 and 713.65 is: 1,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.72 : 2,712.75 = 713.65 : x
  2. Step 2: Convert to fraction form
    1,809.72/2,712.75 = 713.65/x
  3. Step 3: Cross multiply
    1,809.72x = 2,712.75 × 713.65
  4. Step 4: Simplify right side
    1,809.72x = 1,935,954.04
  5. Step 5: Solve for x
    x = 1,935,954.04/1,809.72
  6. Step 6: Final answer
    x = 1,069.75

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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.