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Finding the Fourth Proportional to 1,128.26, 1,692.62 and 398.36

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Solution

The fourth proportional to 1,128.26, 1,692.62 and 398.36 is: 597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.26 : 1,692.62 = 398.36 : x
  2. Step 2: Convert to fraction form
    1,128.26/1,692.62 = 398.36/x
  3. Step 3: Cross multiply
    1,128.26x = 1,692.62 × 398.36
  4. Step 4: Simplify right side
    1,128.26x = 674,264.64
  5. Step 5: Solve for x
    x = 674,264.64/1,128.26
  6. Step 6: Final answer
    x = 597.61

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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.