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Finding the Fourth Proportional to 1,154.11, 1,592.65 and 682

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Solution

The fourth proportional to 1,154.11, 1,592.65 and 682 is: 941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.11 : 1,592.65 = 682 : x
  2. Step 2: Convert to fraction form
    1,154.11/1,592.65 = 682/x
  3. Step 3: Cross multiply
    1,154.11x = 1,592.65 × 682
  4. Step 4: Simplify right side
    1,154.11x = 1,086,187.30
  5. Step 5: Solve for x
    x = 1,086,187.30/1,154.11
  6. Step 6: Final answer
    x = 941.15

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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.