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Finding the Fourth Proportional to 1,247.92, 1,871.88 and 382.24

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Solution

The fourth proportional to 1,247.92, 1,871.88 and 382.24 is: 573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.92 : 1,871.88 = 382.24 : x
  2. Step 2: Convert to fraction form
    1,247.92/1,871.88 = 382.24/x
  3. Step 3: Cross multiply
    1,247.92x = 1,871.88 × 382.24
  4. Step 4: Simplify right side
    1,247.92x = 715,507.41
  5. Step 5: Solve for x
    x = 715,507.41/1,247.92
  6. Step 6: Final answer
    x = 573.36

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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.