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Finding the Fourth Proportional to 1,128.72, 1,692.82 and 543.35

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Solution

The fourth proportional to 1,128.72, 1,692.82 and 543.35 is: 814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.72 : 1,692.82 = 543.35 : x
  2. Step 2: Convert to fraction form
    1,128.72/1,692.82 = 543.35/x
  3. Step 3: Cross multiply
    1,128.72x = 1,692.82 × 543.35
  4. Step 4: Simplify right side
    1,128.72x = 919,795.56
  5. Step 5: Solve for x
    x = 919,795.56/1,128.72
  6. Step 6: Final answer
    x = 814.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.