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Finding the Fourth Proportional to 1,030.87, 1,546.26 and 300.43

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Solution

The fourth proportional to 1,030.87, 1,546.26 and 300.43 is: 450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.87 : 1,546.26 = 300.43 : x
  2. Step 2: Convert to fraction form
    1,030.87/1,546.26 = 300.43/x
  3. Step 3: Cross multiply
    1,030.87x = 1,546.26 × 300.43
  4. Step 4: Simplify right side
    1,030.87x = 464,542.89
  5. Step 5: Solve for x
    x = 464,542.89/1,030.87
  6. Step 6: Final answer
    x = 450.63

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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.