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Finding the Fourth Proportional to 1,146.39, 1,581.92 and 674.30

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Solution

The fourth proportional to 1,146.39, 1,581.92 and 674.30 is: 930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.39 : 1,581.92 = 674.30 : x
  2. Step 2: Convert to fraction form
    1,146.39/1,581.92 = 674.30/x
  3. Step 3: Cross multiply
    1,146.39x = 1,581.92 × 674.30
  4. Step 4: Simplify right side
    1,146.39x = 1,066,677.37
  5. Step 5: Solve for x
    x = 1,066,677.37/1,146.39
  6. Step 6: Final answer
    x = 930.47

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Why These Related Problems?

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