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Finding the Fourth Proportional to 1,147.65, 1,721.49 and 325.82

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Solution

The fourth proportional to 1,147.65, 1,721.49 and 325.82 is: 488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.65 : 1,721.49 = 325.82 : x
  2. Step 2: Convert to fraction form
    1,147.65/1,721.49 = 325.82/x
  3. Step 3: Cross multiply
    1,147.65x = 1,721.49 × 325.82
  4. Step 4: Simplify right side
    1,147.65x = 560,887.26
  5. Step 5: Solve for x
    x = 560,887.26/1,147.65
  6. Step 6: Final answer
    x = 488.73

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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.