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Finding the Fourth Proportional to 1,179.85, 1,769.35 and 346.69

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Solution

The fourth proportional to 1,179.85, 1,769.35 and 346.69 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.85 : 1,769.35 = 346.69 : x
  2. Step 2: Convert to fraction form
    1,179.85/1,769.35 = 346.69/x
  3. Step 3: Cross multiply
    1,179.85x = 1,769.35 × 346.69
  4. Step 4: Simplify right side
    1,179.85x = 613,415.95
  5. Step 5: Solve for x
    x = 613,415.95/1,179.85
  6. Step 6: Final answer
    x = 519.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.