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Finding the Fourth Proportional to 1,244.83, 1,867.34 and 379.21

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Solution

The fourth proportional to 1,244.83, 1,867.34 and 379.21 is: 568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.83 : 1,867.34 = 379.21 : x
  2. Step 2: Convert to fraction form
    1,244.83/1,867.34 = 379.21/x
  3. Step 3: Cross multiply
    1,244.83x = 1,867.34 × 379.21
  4. Step 4: Simplify right side
    1,244.83x = 708,114.00
  5. Step 5: Solve for x
    x = 708,114.00/1,244.83
  6. Step 6: Final answer
    x = 568.84

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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.