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Finding the Fourth Proportional to 1,256.38, 1,884.57 and 378.88

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Solution

The fourth proportional to 1,256.38, 1,884.57 and 378.88 is: 568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.38 : 1,884.57 = 378.88 : x
  2. Step 2: Convert to fraction form
    1,256.38/1,884.57 = 378.88/x
  3. Step 3: Cross multiply
    1,256.38x = 1,884.57 × 378.88
  4. Step 4: Simplify right side
    1,256.38x = 714,025.88
  5. Step 5: Solve for x
    x = 714,025.88/1,256.38
  6. Step 6: Final answer
    x = 568.32

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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.