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Finding the Fourth Proportional to 1,233.63, 1,849.23 and 503.42

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Solution

The fourth proportional to 1,233.63, 1,849.23 and 503.42 is: 754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.63 : 1,849.23 = 503.42 : x
  2. Step 2: Convert to fraction form
    1,233.63/1,849.23 = 503.42/x
  3. Step 3: Cross multiply
    1,233.63x = 1,849.23 × 503.42
  4. Step 4: Simplify right side
    1,233.63x = 930,930.12
  5. Step 5: Solve for x
    x = 930,930.12/1,233.63
  6. Step 6: Final answer
    x = 754.63

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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.