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Finding the Fourth Proportional to 1,233.86, 1,850.04 and 493.58

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Solution

The fourth proportional to 1,233.86, 1,850.04 and 493.58 is: 740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.86 : 1,850.04 = 493.58 : x
  2. Step 2: Convert to fraction form
    1,233.86/1,850.04 = 493.58/x
  3. Step 3: Cross multiply
    1,233.86x = 1,850.04 × 493.58
  4. Step 4: Simplify right side
    1,233.86x = 913,147.37
  5. Step 5: Solve for x
    x = 913,147.37/1,233.86
  6. Step 6: Final answer
    x = 740.08

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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.