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Finding the Fourth Proportional to 1,027.05, 1,540.62 and 410.82

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Solution

The fourth proportional to 1,027.05, 1,540.62 and 410.82 is: 616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.05 : 1,540.62 = 410.82 : x
  2. Step 2: Convert to fraction form
    1,027.05/1,540.62 = 410.82/x
  3. Step 3: Cross multiply
    1,027.05x = 1,540.62 × 410.82
  4. Step 4: Simplify right side
    1,027.05x = 632,920.40
  5. Step 5: Solve for x
    x = 632,920.40/1,027.05
  6. Step 6: Final answer
    x = 616.25

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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.