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Finding the Fourth Proportional to 1,104.82, 1,656.65 and 665.67

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Solution

The fourth proportional to 1,104.82, 1,656.65 and 665.67 is: 998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.82 : 1,656.65 = 665.67 : x
  2. Step 2: Convert to fraction form
    1,104.82/1,656.65 = 665.67/x
  3. Step 3: Cross multiply
    1,104.82x = 1,656.65 × 665.67
  4. Step 4: Simplify right side
    1,104.82x = 1,102,770.59
  5. Step 5: Solve for x
    x = 1,102,770.59/1,104.82
  6. Step 6: Final answer
    x = 998.15

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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.