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Finding the Fourth Proportional to 1,031.39, 1,546.92 and 300.81

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Solution

The fourth proportional to 1,031.39, 1,546.92 and 300.81 is: 451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.39 : 1,546.92 = 300.81 : x
  2. Step 2: Convert to fraction form
    1,031.39/1,546.92 = 300.81/x
  3. Step 3: Cross multiply
    1,031.39x = 1,546.92 × 300.81
  4. Step 4: Simplify right side
    1,031.39x = 465,329.01
  5. Step 5: Solve for x
    x = 465,329.01/1,031.39
  6. Step 6: Final answer
    x = 451.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.