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Finding the Fourth Proportional to 1,179.46, 1,769.19 and 313.75

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Solution

The fourth proportional to 1,179.46, 1,769.19 and 313.75 is: 470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.46 : 1,769.19 = 313.75 : x
  2. Step 2: Convert to fraction form
    1,179.46/1,769.19 = 313.75/x
  3. Step 3: Cross multiply
    1,179.46x = 1,769.19 × 313.75
  4. Step 4: Simplify right side
    1,179.46x = 555,083.36
  5. Step 5: Solve for x
    x = 555,083.36/1,179.46
  6. Step 6: Final answer
    x = 470.63

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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.