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Finding the Fourth Proportional to 1,166.24, 1,748.76 and 344.41

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Solution

The fourth proportional to 1,166.24, 1,748.76 and 344.41 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.24 : 1,748.76 = 344.41 : x
  2. Step 2: Convert to fraction form
    1,166.24/1,748.76 = 344.41/x
  3. Step 3: Cross multiply
    1,166.24x = 1,748.76 × 344.41
  4. Step 4: Simplify right side
    1,166.24x = 602,293.91
  5. Step 5: Solve for x
    x = 602,293.91/1,166.24
  6. Step 6: Final answer
    x = 516.44

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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.