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Finding the Fourth Proportional to 820.80, 1,135.36 and 669.12

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Solution

The fourth proportional to 820.80, 1,135.36 and 669.12 is: 925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.80 : 1,135.36 = 669.12 : x
  2. Step 2: Convert to fraction form
    820.80/1,135.36 = 669.12/x
  3. Step 3: Cross multiply
    820.80x = 1,135.36 × 669.12
  4. Step 4: Simplify right side
    820.80x = 759,692.08
  5. Step 5: Solve for x
    x = 759,692.08/820.80
  6. Step 6: Final answer
    x = 925.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.