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Finding the Fourth Proportional to 917.43, 1,375.74 and 455.37

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Solution

The fourth proportional to 917.43, 1,375.74 and 455.37 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.43 : 1,375.74 = 455.37 : x
  2. Step 2: Convert to fraction form
    917.43/1,375.74 = 455.37/x
  3. Step 3: Cross multiply
    917.43x = 1,375.74 × 455.37
  4. Step 4: Simplify right side
    917.43x = 626,470.72
  5. Step 5: Solve for x
    x = 626,470.72/917.43
  6. Step 6: Final answer
    x = 682.85

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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.