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Finding the Fourth Proportional to 1,104.39, 1,657.71 and 455.31

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Solution

The fourth proportional to 1,104.39, 1,657.71 and 455.31 is: 683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.39 : 1,657.71 = 455.31 : x
  2. Step 2: Convert to fraction form
    1,104.39/1,657.71 = 455.31/x
  3. Step 3: Cross multiply
    1,104.39x = 1,657.71 × 455.31
  4. Step 4: Simplify right side
    1,104.39x = 754,771.94
  5. Step 5: Solve for x
    x = 754,771.94/1,104.39
  6. Step 6: Final answer
    x = 683.43

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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.