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Finding the Fourth Proportional to 1,166.14, 1,749.33 and 436.33

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Solution

The fourth proportional to 1,166.14, 1,749.33 and 436.33 is: 654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.14 : 1,749.33 = 436.33 : x
  2. Step 2: Convert to fraction form
    1,166.14/1,749.33 = 436.33/x
  3. Step 3: Cross multiply
    1,166.14x = 1,749.33 × 436.33
  4. Step 4: Simplify right side
    1,166.14x = 763,285.16
  5. Step 5: Solve for x
    x = 763,285.16/1,166.14
  6. Step 6: Final answer
    x = 654.54

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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.