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Finding the Fourth Proportional to 1,186.48, 1,778.94 and 493.48

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Solution

The fourth proportional to 1,186.48, 1,778.94 and 493.48 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.48 : 1,778.94 = 493.48 : x
  2. Step 2: Convert to fraction form
    1,186.48/1,778.94 = 493.48/x
  3. Step 3: Cross multiply
    1,186.48x = 1,778.94 × 493.48
  4. Step 4: Simplify right side
    1,186.48x = 877,871.31
  5. Step 5: Solve for x
    x = 877,871.31/1,186.48
  6. Step 6: Final answer
    x = 739.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.