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Finding the Fourth Proportional to 1,031.16, 1,546.57 and 300.56

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Solution

The fourth proportional to 1,031.16, 1,546.57 and 300.56 is: 450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.16 : 1,546.57 = 300.56 : x
  2. Step 2: Convert to fraction form
    1,031.16/1,546.57 = 300.56/x
  3. Step 3: Cross multiply
    1,031.16x = 1,546.57 × 300.56
  4. Step 4: Simplify right side
    1,031.16x = 464,837.08
  5. Step 5: Solve for x
    x = 464,837.08/1,031.16
  6. Step 6: Final answer
    x = 450.79

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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.