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Finding the Fourth Proportional to 1,186.12, 1,778.94 and 416.36

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Solution

The fourth proportional to 1,186.12, 1,778.94 and 416.36 is: 624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.12 : 1,778.94 = 416.36 : x
  2. Step 2: Convert to fraction form
    1,186.12/1,778.94 = 416.36/x
  3. Step 3: Cross multiply
    1,186.12x = 1,778.94 × 416.36
  4. Step 4: Simplify right side
    1,186.12x = 740,679.46
  5. Step 5: Solve for x
    x = 740,679.46/1,186.12
  6. Step 6: Final answer
    x = 624.46

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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.