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Finding the Fourth Proportional to 917.23, 1,375.20 and 448.45

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Solution

The fourth proportional to 917.23, 1,375.20 and 448.45 is: 672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.23 : 1,375.20 = 448.45 : x
  2. Step 2: Convert to fraction form
    917.23/1,375.20 = 448.45/x
  3. Step 3: Cross multiply
    917.23x = 1,375.20 × 448.45
  4. Step 4: Simplify right side
    917.23x = 616,708.44
  5. Step 5: Solve for x
    x = 616,708.44/917.23
  6. Step 6: Final answer
    x = 672.36

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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.