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Finding the Fourth Proportional to 1,233.98, 1,850.98 and 503.36

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Solution

The fourth proportional to 1,233.98, 1,850.98 and 503.36 is: 755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.98 : 1,850.98 = 503.36 : x
  2. Step 2: Convert to fraction form
    1,233.98/1,850.98 = 503.36/x
  3. Step 3: Cross multiply
    1,233.98x = 1,850.98 × 503.36
  4. Step 4: Simplify right side
    1,233.98x = 931,709.29
  5. Step 5: Solve for x
    x = 931,709.29/1,233.98
  6. Step 6: Final answer
    x = 755.04

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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.