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Finding the Fourth Proportional to 1,555.25, 2,332.92 and 401

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Solution

The fourth proportional to 1,555.25, 2,332.92 and 401 is: 601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.25 : 2,332.92 = 401 : x
  2. Step 2: Convert to fraction form
    1,555.25/2,332.92 = 401/x
  3. Step 3: Cross multiply
    1,555.25x = 2,332.92 × 401
  4. Step 4: Simplify right side
    1,555.25x = 935,500.92
  5. Step 5: Solve for x
    x = 935,500.92/1,555.25
  6. Step 6: Final answer
    x = 601.51

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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.