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Finding the Fourth Proportional to 1,104.69, 1,657.05 and 455.49

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Solution

The fourth proportional to 1,104.69, 1,657.05 and 455.49 is: 683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.69 : 1,657.05 = 455.49 : x
  2. Step 2: Convert to fraction form
    1,104.69/1,657.05 = 455.49/x
  3. Step 3: Cross multiply
    1,104.69x = 1,657.05 × 455.49
  4. Step 4: Simplify right side
    1,104.69x = 754,769.70
  5. Step 5: Solve for x
    x = 754,769.70/1,104.69
  6. Step 6: Final answer
    x = 683.24

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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.