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Finding the Fourth Proportional to 1,101.78, 1,652.94 and 408.48

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Solution

The fourth proportional to 1,101.78, 1,652.94 and 408.48 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.78 : 1,652.94 = 408.48 : x
  2. Step 2: Convert to fraction form
    1,101.78/1,652.94 = 408.48/x
  3. Step 3: Cross multiply
    1,101.78x = 1,652.94 × 408.48
  4. Step 4: Simplify right side
    1,101.78x = 675,192.93
  5. Step 5: Solve for x
    x = 675,192.93/1,101.78
  6. Step 6: Final answer
    x = 612.82

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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.