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Finding the Fourth Proportional to 1,357, 1,873.74 and 1,063.78

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Solution

The fourth proportional to 1,357, 1,873.74 and 1,063.78 is: 1,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357 : 1,873.74 = 1,063.78 : x
  2. Step 2: Convert to fraction form
    1,357/1,873.74 = 1,063.78/x
  3. Step 3: Cross multiply
    1,357x = 1,873.74 × 1,063.78
  4. Step 4: Simplify right side
    1,357x = 1,993,247.14
  5. Step 5: Solve for x
    x = 1,993,247.14/1,357
  6. Step 6: Final answer
    x = 1,468.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.