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Finding the Fourth Proportional to 675.69, 1,013.01 and 382.88

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Solution

The fourth proportional to 675.69, 1,013.01 and 382.88 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.69 : 1,013.01 = 382.88 : x
  2. Step 2: Convert to fraction form
    675.69/1,013.01 = 382.88/x
  3. Step 3: Cross multiply
    675.69x = 1,013.01 × 382.88
  4. Step 4: Simplify right side
    675.69x = 387,856.67
  5. Step 5: Solve for x
    x = 387,856.67/675.69
  6. Step 6: Final answer
    x = 574.01

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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.