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Finding the Fourth Proportional to 675.34, 1,013.37 and 382.84

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Solution

The fourth proportional to 675.34, 1,013.37 and 382.84 is: 574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.34 : 1,013.37 = 382.84 : x
  2. Step 2: Convert to fraction form
    675.34/1,013.37 = 382.84/x
  3. Step 3: Cross multiply
    675.34x = 1,013.37 × 382.84
  4. Step 4: Simplify right side
    675.34x = 387,958.57
  5. Step 5: Solve for x
    x = 387,958.57/675.34
  6. Step 6: Final answer
    x = 574.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.