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Finding the Fourth Proportional to 917.26, 1,375.90 and 734.42

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Solution

The fourth proportional to 917.26, 1,375.90 and 734.42 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.26 : 1,375.90 = 734.42 : x
  2. Step 2: Convert to fraction form
    917.26/1,375.90 = 734.42/x
  3. Step 3: Cross multiply
    917.26x = 1,375.90 × 734.42
  4. Step 4: Simplify right side
    917.26x = 1,010,488.48
  5. Step 5: Solve for x
    x = 1,010,488.48/917.26
  6. Step 6: Final answer
    x = 1,101.64

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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.