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Finding the Fourth Proportional to 1,248.21, 1,872.24 and 382.52

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Solution

The fourth proportional to 1,248.21, 1,872.24 and 382.52 is: 573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.21 : 1,872.24 = 382.52 : x
  2. Step 2: Convert to fraction form
    1,248.21/1,872.24 = 382.52/x
  3. Step 3: Cross multiply
    1,248.21x = 1,872.24 × 382.52
  4. Step 4: Simplify right side
    1,248.21x = 716,169.24
  5. Step 5: Solve for x
    x = 716,169.24/1,248.21
  6. Step 6: Final answer
    x = 573.76

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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.