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Finding the Fourth Proportional to 1,242.03, 1,713.96 and 682.50

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Solution

The fourth proportional to 1,242.03, 1,713.96 and 682.50 is: 941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.03 : 1,713.96 = 682.50 : x
  2. Step 2: Convert to fraction form
    1,242.03/1,713.96 = 682.50/x
  3. Step 3: Cross multiply
    1,242.03x = 1,713.96 × 682.50
  4. Step 4: Simplify right side
    1,242.03x = 1,169,777.70
  5. Step 5: Solve for x
    x = 1,169,777.70/1,242.03
  6. Step 6: Final answer
    x = 941.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.