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Finding the Fourth Proportional to 1,147.74, 1,721.37 and 325.79

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Solution

The fourth proportional to 1,147.74, 1,721.37 and 325.79 is: 488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.74 : 1,721.37 = 325.79 : x
  2. Step 2: Convert to fraction form
    1,147.74/1,721.37 = 325.79/x
  3. Step 3: Cross multiply
    1,147.74x = 1,721.37 × 325.79
  4. Step 4: Simplify right side
    1,147.74x = 560,803.50
  5. Step 5: Solve for x
    x = 560,803.50/1,147.74
  6. Step 6: Final answer
    x = 488.62

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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.