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Finding the Fourth Proportional to 1,154.47, 1,593.09 and 682.25

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Solution

The fourth proportional to 1,154.47, 1,593.09 and 682.25 is: 941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.47 : 1,593.09 = 682.25 : x
  2. Step 2: Convert to fraction form
    1,154.47/1,593.09 = 682.25/x
  3. Step 3: Cross multiply
    1,154.47x = 1,593.09 × 682.25
  4. Step 4: Simplify right side
    1,154.47x = 1,086,885.65
  5. Step 5: Solve for x
    x = 1,086,885.65/1,154.47
  6. Step 6: Final answer
    x = 941.46

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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.