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Finding the Fourth Proportional to 1,179.96, 1,769.68 and 594.80

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Solution

The fourth proportional to 1,179.96, 1,769.68 and 594.80 is: 892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.96 : 1,769.68 = 594.80 : x
  2. Step 2: Convert to fraction form
    1,179.96/1,769.68 = 594.80/x
  3. Step 3: Cross multiply
    1,179.96x = 1,769.68 × 594.80
  4. Step 4: Simplify right side
    1,179.96x = 1,052,605.66
  5. Step 5: Solve for x
    x = 1,052,605.66/1,179.96
  6. Step 6: Final answer
    x = 892.07

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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.