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Finding the Fourth Proportional to 1,026.46, 1,540.43 and 410.34

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Solution

The fourth proportional to 1,026.46, 1,540.43 and 410.34 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.46 : 1,540.43 = 410.34 : x
  2. Step 2: Convert to fraction form
    1,026.46/1,540.43 = 410.34/x
  3. Step 3: Cross multiply
    1,026.46x = 1,540.43 × 410.34
  4. Step 4: Simplify right side
    1,026.46x = 632,100.05
  5. Step 5: Solve for x
    x = 632,100.05/1,026.46
  6. Step 6: Final answer
    x = 615.81

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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.