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Finding the Fourth Proportional to 1,128.33, 1,692.23 and 397.64

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Solution

The fourth proportional to 1,128.33, 1,692.23 and 397.64 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.33 : 1,692.23 = 397.64 : x
  2. Step 2: Convert to fraction form
    1,128.33/1,692.23 = 397.64/x
  3. Step 3: Cross multiply
    1,128.33x = 1,692.23 × 397.64
  4. Step 4: Simplify right side
    1,128.33x = 672,900.58
  5. Step 5: Solve for x
    x = 672,900.58/1,128.33
  6. Step 6: Final answer
    x = 596.37

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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.