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Finding the Fourth Proportional to 1,146.82, 1,582.24 and 674.56

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Solution

The fourth proportional to 1,146.82, 1,582.24 and 674.56 is: 930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.82 : 1,582.24 = 674.56 : x
  2. Step 2: Convert to fraction form
    1,146.82/1,582.24 = 674.56/x
  3. Step 3: Cross multiply
    1,146.82x = 1,582.24 × 674.56
  4. Step 4: Simplify right side
    1,146.82x = 1,067,315.81
  5. Step 5: Solve for x
    x = 1,067,315.81/1,146.82
  6. Step 6: Final answer
    x = 930.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.