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Finding the Fourth Proportional to 1,233.87, 1,849.77 and 493.02

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Solution

The fourth proportional to 1,233.87, 1,849.77 and 493.02 is: 739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.87 : 1,849.77 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,233.87/1,849.77 = 493.02/x
  3. Step 3: Cross multiply
    1,233.87x = 1,849.77 × 493.02
  4. Step 4: Simplify right side
    1,233.87x = 911,973.61
  5. Step 5: Solve for x
    x = 911,973.61/1,233.87
  6. Step 6: Final answer
    x = 739.12

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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.