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Finding the Fourth Proportional to 1,242.80, 1,863.11 and 625.98

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Solution

The fourth proportional to 1,242.80, 1,863.11 and 625.98 is: 938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.80 : 1,863.11 = 625.98 : x
  2. Step 2: Convert to fraction form
    1,242.80/1,863.11 = 625.98/x
  3. Step 3: Cross multiply
    1,242.80x = 1,863.11 × 625.98
  4. Step 4: Simplify right side
    1,242.80x = 1,166,266.47
  5. Step 5: Solve for x
    x = 1,166,266.47/1,242.80
  6. Step 6: Final answer
    x = 938.42

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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.