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Finding the Fourth Proportional to 1,375.80, 2,062.98 and 401.64

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Solution

The fourth proportional to 1,375.80, 2,062.98 and 401.64 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.80 : 2,062.98 = 401.64 : x
  2. Step 2: Convert to fraction form
    1,375.80/2,062.98 = 401.64/x
  3. Step 3: Cross multiply
    1,375.80x = 2,062.98 × 401.64
  4. Step 4: Simplify right side
    1,375.80x = 828,575.29
  5. Step 5: Solve for x
    x = 828,575.29/1,375.80
  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.