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Finding the Fourth Proportional to 1,128.26, 1,692.39 and 606.98

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Solution

The fourth proportional to 1,128.26, 1,692.39 and 606.98 is: 910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.26 : 1,692.39 = 606.98 : x
  2. Step 2: Convert to fraction form
    1,128.26/1,692.39 = 606.98/x
  3. Step 3: Cross multiply
    1,128.26x = 1,692.39 × 606.98
  4. Step 4: Simplify right side
    1,128.26x = 1,027,246.88
  5. Step 5: Solve for x
    x = 1,027,246.88/1,128.26
  6. Step 6: Final answer
    x = 910.47

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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.