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Finding the Fourth Proportional to 1,154.70, 1,593.84 and 682.56

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Solution

The fourth proportional to 1,154.70, 1,593.84 and 682.56 is: 942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.70 : 1,593.84 = 682.56 : x
  2. Step 2: Convert to fraction form
    1,154.70/1,593.84 = 682.56/x
  3. Step 3: Cross multiply
    1,154.70x = 1,593.84 × 682.56
  4. Step 4: Simplify right side
    1,154.70x = 1,087,891.43
  5. Step 5: Solve for x
    x = 1,087,891.43/1,154.70
  6. Step 6: Final answer
    x = 942.14

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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.