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Finding the Fourth Proportional to 1,196.73, 1,652.07 and 754.86

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Solution

The fourth proportional to 1,196.73, 1,652.07 and 754.86 is: 1,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.73 : 1,652.07 = 754.86 : x
  2. Step 2: Convert to fraction form
    1,196.73/1,652.07 = 754.86/x
  3. Step 3: Cross multiply
    1,196.73x = 1,652.07 × 754.86
  4. Step 4: Simplify right side
    1,196.73x = 1,247,081.56
  5. Step 5: Solve for x
    x = 1,247,081.56/1,196.73
  6. Step 6: Final answer
    x = 1,042.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.