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Finding the Fourth Proportional to 1,147.27, 1,721.01 and 325.63

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Solution

The fourth proportional to 1,147.27, 1,721.01 and 325.63 is: 488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.27 : 1,721.01 = 325.63 : x
  2. Step 2: Convert to fraction form
    1,147.27/1,721.01 = 325.63/x
  3. Step 3: Cross multiply
    1,147.27x = 1,721.01 × 325.63
  4. Step 4: Simplify right side
    1,147.27x = 560,412.49
  5. Step 5: Solve for x
    x = 560,412.49/1,147.27
  6. Step 6: Final answer
    x = 488.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.