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Finding the Fourth Proportional to 674.58, 1,012.14 and 382.08

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Solution

The fourth proportional to 674.58, 1,012.14 and 382.08 is: 573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.58 : 1,012.14 = 382.08 : x
  2. Step 2: Convert to fraction form
    674.58/1,012.14 = 382.08/x
  3. Step 3: Cross multiply
    674.58x = 1,012.14 × 382.08
  4. Step 4: Simplify right side
    674.58x = 386,718.45
  5. Step 5: Solve for x
    x = 386,718.45/674.58
  6. Step 6: Final answer
    x = 573.27

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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.