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Finding the Fourth Proportional to 1,375.36, 2,063.12 and 401.38

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Solution

The fourth proportional to 1,375.36, 2,063.12 and 401.38 is: 602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.36 : 2,063.12 = 401.38 : x
  2. Step 2: Convert to fraction form
    1,375.36/2,063.12 = 401.38/x
  3. Step 3: Cross multiply
    1,375.36x = 2,063.12 × 401.38
  4. Step 4: Simplify right side
    1,375.36x = 828,095.11
  5. Step 5: Solve for x
    x = 828,095.11/1,375.36
  6. Step 6: Final answer
    x = 602.09

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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.