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Finding the Fourth Proportional to 1,031.45, 1,546.71 and 300.86

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Solution

The fourth proportional to 1,031.45, 1,546.71 and 300.86 is: 451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.45 : 1,546.71 = 300.86 : x
  2. Step 2: Convert to fraction form
    1,031.45/1,546.71 = 300.86/x
  3. Step 3: Cross multiply
    1,031.45x = 1,546.71 × 300.86
  4. Step 4: Simplify right side
    1,031.45x = 465,335.44
  5. Step 5: Solve for x
    x = 465,335.44/1,031.45
  6. Step 6: Final answer
    x = 451.15

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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.