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Finding the Fourth Proportional to 1,178.82, 1,769.02 and 529.60

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Solution

The fourth proportional to 1,178.82, 1,769.02 and 529.60 is: 794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.82 : 1,769.02 = 529.60 : x
  2. Step 2: Convert to fraction form
    1,178.82/1,769.02 = 529.60/x
  3. Step 3: Cross multiply
    1,178.82x = 1,769.02 × 529.60
  4. Step 4: Simplify right side
    1,178.82x = 936,872.99
  5. Step 5: Solve for x
    x = 936,872.99/1,178.82
  6. Step 6: Final answer
    x = 794.75

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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.