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Finding the Fourth Proportional to 1,166.36, 1,749.53 and 344.63

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Solution

The fourth proportional to 1,166.36, 1,749.53 and 344.63 is: 516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.36 : 1,749.53 = 344.63 : x
  2. Step 2: Convert to fraction form
    1,166.36/1,749.53 = 344.63/x
  3. Step 3: Cross multiply
    1,166.36x = 1,749.53 × 344.63
  4. Step 4: Simplify right side
    1,166.36x = 602,945.76
  5. Step 5: Solve for x
    x = 602,945.76/1,166.36
  6. Step 6: Final answer
    x = 516.95

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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.