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Finding the Fourth Proportional to 1,186.92, 1,780.66 and 406.93

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Solution

The fourth proportional to 1,186.92, 1,780.66 and 406.93 is: 610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.92 : 1,780.66 = 406.93 : x
  2. Step 2: Convert to fraction form
    1,186.92/1,780.66 = 406.93/x
  3. Step 3: Cross multiply
    1,186.92x = 1,780.66 × 406.93
  4. Step 4: Simplify right side
    1,186.92x = 724,603.97
  5. Step 5: Solve for x
    x = 724,603.97/1,186.92
  6. Step 6: Final answer
    x = 610.49

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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.