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Finding the Fourth Proportional to 1,375.34, 2,063.38 and 401.43

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Solution

The fourth proportional to 1,375.34, 2,063.38 and 401.43 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.34 : 2,063.38 = 401.43 : x
  2. Step 2: Convert to fraction form
    1,375.34/2,063.38 = 401.43/x
  3. Step 3: Cross multiply
    1,375.34x = 2,063.38 × 401.43
  4. Step 4: Simplify right side
    1,375.34x = 828,301.63
  5. Step 5: Solve for x
    x = 828,301.63/1,375.34
  6. Step 6: Final answer
    x = 602.25

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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.