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Finding the Fourth Proportional to 1,031.53, 1,546.92 and 300.91

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Solution

The fourth proportional to 1,031.53, 1,546.92 and 300.91 is: 451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.53 : 1,546.92 = 300.91 : x
  2. Step 2: Convert to fraction form
    1,031.53/1,546.92 = 300.91/x
  3. Step 3: Cross multiply
    1,031.53x = 1,546.92 × 300.91
  4. Step 4: Simplify right side
    1,031.53x = 465,483.70
  5. Step 5: Solve for x
    x = 465,483.70/1,031.53
  6. Step 6: Final answer
    x = 451.26

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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.