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Finding the Fourth Proportional to 1,241.84, 1,713.76 and 682.34

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Solution

The fourth proportional to 1,241.84, 1,713.76 and 682.34 is: 941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.84 : 1,713.76 = 682.34 : x
  2. Step 2: Convert to fraction form
    1,241.84/1,713.76 = 682.34/x
  3. Step 3: Cross multiply
    1,241.84x = 1,713.76 × 682.34
  4. Step 4: Simplify right side
    1,241.84x = 1,169,362.71
  5. Step 5: Solve for x
    x = 1,169,362.71/1,241.84
  6. Step 6: Final answer
    x = 941.64

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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.