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Finding the Fourth Proportional to 1,179.59, 1,769.38 and 313.88

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Solution

The fourth proportional to 1,179.59, 1,769.38 and 313.88 is: 470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.59 : 1,769.38 = 313.88 : x
  2. Step 2: Convert to fraction form
    1,179.59/1,769.38 = 313.88/x
  3. Step 3: Cross multiply
    1,179.59x = 1,769.38 × 313.88
  4. Step 4: Simplify right side
    1,179.59x = 555,363.36
  5. Step 5: Solve for x
    x = 555,363.36/1,179.59
  6. Step 6: Final answer
    x = 470.81

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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.