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Finding the Fourth Proportional to 1,179.85, 1,769.09 and 485.74

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Solution

The fourth proportional to 1,179.85, 1,769.09 and 485.74 is: 728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.85 : 1,769.09 = 485.74 : x
  2. Step 2: Convert to fraction form
    1,179.85/1,769.09 = 485.74/x
  3. Step 3: Cross multiply
    1,179.85x = 1,769.09 × 485.74
  4. Step 4: Simplify right side
    1,179.85x = 859,315.32
  5. Step 5: Solve for x
    x = 859,315.32/1,179.85
  6. Step 6: Final answer
    x = 728.32

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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.