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Finding the Fourth Proportional to 1,026.87, 1,540.26 and 296.43

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Solution

The fourth proportional to 1,026.87, 1,540.26 and 296.43 is: 444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.87 : 1,540.26 = 296.43 : x
  2. Step 2: Convert to fraction form
    1,026.87/1,540.26 = 296.43/x
  3. Step 3: Cross multiply
    1,026.87x = 1,540.26 × 296.43
  4. Step 4: Simplify right side
    1,026.87x = 456,579.27
  5. Step 5: Solve for x
    x = 456,579.27/1,026.87
  6. Step 6: Final answer
    x = 444.63

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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.