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Finding the Fourth Proportional to 1,179.93, 1,769.73 and 314.31

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Solution

The fourth proportional to 1,179.93, 1,769.73 and 314.31 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.93 : 1,769.73 = 314.31 : x
  2. Step 2: Convert to fraction form
    1,179.93/1,769.73 = 314.31/x
  3. Step 3: Cross multiply
    1,179.93x = 1,769.73 × 314.31
  4. Step 4: Simplify right side
    1,179.93x = 556,243.84
  5. Step 5: Solve for x
    x = 556,243.84/1,179.93
  6. Step 6: Final answer
    x = 471.42

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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.