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Finding the Fourth Proportional to 1,026.86, 1,542.36 and 616.78

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Solution

The fourth proportional to 1,026.86, 1,542.36 and 616.78 is: 926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.86 : 1,542.36 = 616.78 : x
  2. Step 2: Convert to fraction form
    1,026.86/1,542.36 = 616.78/x
  3. Step 3: Cross multiply
    1,026.86x = 1,542.36 × 616.78
  4. Step 4: Simplify right side
    1,026.86x = 951,296.80
  5. Step 5: Solve for x
    x = 951,296.80/1,026.86
  6. Step 6: Final answer
    x = 926.41

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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.