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Finding the Fourth Proportional to 675.25, 1,011.89 and 382.13

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Solution

The fourth proportional to 675.25, 1,011.89 and 382.13 is: 572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.25 : 1,011.89 = 382.13 : x
  2. Step 2: Convert to fraction form
    675.25/1,011.89 = 382.13/x
  3. Step 3: Cross multiply
    675.25x = 1,011.89 × 382.13
  4. Step 4: Simplify right side
    675.25x = 386,668.47
  5. Step 5: Solve for x
    x = 386,668.47/675.25
  6. Step 6: Final answer
    x = 572.63

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