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Finding the Fourth Proportional to 1,147.57, 1,721.14 and 325.65

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Solution

The fourth proportional to 1,147.57, 1,721.14 and 325.65 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.57 : 1,721.14 = 325.65 : x
  2. Step 2: Convert to fraction form
    1,147.57/1,721.14 = 325.65/x
  3. Step 3: Cross multiply
    1,147.57x = 1,721.14 × 325.65
  4. Step 4: Simplify right side
    1,147.57x = 560,489.24
  5. Step 5: Solve for x
    x = 560,489.24/1,147.57
  6. Step 6: Final answer
    x = 488.41

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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.