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Finding the Fourth Proportional to 1,070.78, 1,604.48 and 827.90

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Solution

The fourth proportional to 1,070.78, 1,604.48 and 827.90 is: 1,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.78 : 1,604.48 = 827.90 : x
  2. Step 2: Convert to fraction form
    1,070.78/1,604.48 = 827.90/x
  3. Step 3: Cross multiply
    1,070.78x = 1,604.48 × 827.90
  4. Step 4: Simplify right side
    1,070.78x = 1,328,348.99
  5. Step 5: Solve for x
    x = 1,328,348.99/1,070.78
  6. Step 6: Final answer
    x = 1,240.54

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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.