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Finding the Fourth Proportional to 1,248.17, 1,872.26 and 382.49

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Solution

The fourth proportional to 1,248.17, 1,872.26 and 382.49 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.17 : 1,872.26 = 382.49 : x
  2. Step 2: Convert to fraction form
    1,248.17/1,872.26 = 382.49/x
  3. Step 3: Cross multiply
    1,248.17x = 1,872.26 × 382.49
  4. Step 4: Simplify right side
    1,248.17x = 716,120.73
  5. Step 5: Solve for x
    x = 716,120.73/1,248.17
  6. Step 6: Final answer
    x = 573.74

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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.