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Finding the Fourth Proportional to 1,031.18, 1,546.80 and 300.81

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Solution

The fourth proportional to 1,031.18, 1,546.80 and 300.81 is: 451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.18 : 1,546.80 = 300.81 : x
  2. Step 2: Convert to fraction form
    1,031.18/1,546.80 = 300.81/x
  3. Step 3: Cross multiply
    1,031.18x = 1,546.80 × 300.81
  4. Step 4: Simplify right side
    1,031.18x = 465,297.58
  5. Step 5: Solve for x
    x = 465,297.58/1,031.18
  6. Step 6: Final answer
    x = 451.23

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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.