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Finding the Fourth Proportional to 1,147.53, 1,721.29 and 325.81

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Solution

The fourth proportional to 1,147.53, 1,721.29 and 325.81 is: 488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.53 : 1,721.29 = 325.81 : x
  2. Step 2: Convert to fraction form
    1,147.53/1,721.29 = 325.81/x
  3. Step 3: Cross multiply
    1,147.53x = 1,721.29 × 325.81
  4. Step 4: Simplify right side
    1,147.53x = 560,803.26
  5. Step 5: Solve for x
    x = 560,803.26/1,147.53
  6. Step 6: Final answer
    x = 488.71

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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.