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Finding the Fourth Proportional to 1,184.89, 1,778.59 and 665.33

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Solution

The fourth proportional to 1,184.89, 1,778.59 and 665.33 is: 998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.89 : 1,778.59 = 665.33 : x
  2. Step 2: Convert to fraction form
    1,184.89/1,778.59 = 665.33/x
  3. Step 3: Cross multiply
    1,184.89x = 1,778.59 × 665.33
  4. Step 4: Simplify right side
    1,184.89x = 1,183,350.40
  5. Step 5: Solve for x
    x = 1,183,350.40/1,184.89
  6. Step 6: Final answer
    x = 998.70

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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.