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Finding the Fourth Proportional to 1,166.81, 1,750.55 and 436.44

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Solution

The fourth proportional to 1,166.81, 1,750.55 and 436.44 is: 654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.81 : 1,750.55 = 436.44 : x
  2. Step 2: Convert to fraction form
    1,166.81/1,750.55 = 436.44/x
  3. Step 3: Cross multiply
    1,166.81x = 1,750.55 × 436.44
  4. Step 4: Simplify right side
    1,166.81x = 764,004.58
  5. Step 5: Solve for x
    x = 764,004.58/1,166.81
  6. Step 6: Final answer
    x = 654.78

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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.