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Finding the Fourth Proportional to 1,104.78, 1,657.43 and 488.67

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Solution

The fourth proportional to 1,104.78, 1,657.43 and 488.67 is: 733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.78 : 1,657.43 = 488.67 : x
  2. Step 2: Convert to fraction form
    1,104.78/1,657.43 = 488.67/x
  3. Step 3: Cross multiply
    1,104.78x = 1,657.43 × 488.67
  4. Step 4: Simplify right side
    1,104.78x = 809,936.32
  5. Step 5: Solve for x
    x = 809,936.32/1,104.78
  6. Step 6: Final answer
    x = 733.12

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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.