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Finding the Fourth Proportional to 1,147.49, 1,721.24 and 325.77

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Solution

The fourth proportional to 1,147.49, 1,721.24 and 325.77 is: 488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.49 : 1,721.24 = 325.77 : x
  2. Step 2: Convert to fraction form
    1,147.49/1,721.24 = 325.77/x
  3. Step 3: Cross multiply
    1,147.49x = 1,721.24 × 325.77
  4. Step 4: Simplify right side
    1,147.49x = 560,733.79
  5. Step 5: Solve for x
    x = 560,733.79/1,147.49
  6. Step 6: Final answer
    x = 488.66

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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.