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Finding the Fourth Proportional to 897.44, 1,344.32 and 795

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Solution

The fourth proportional to 897.44, 1,344.32 and 795 is: 1,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.44 : 1,344.32 = 795 : x
  2. Step 2: Convert to fraction form
    897.44/1,344.32 = 795/x
  3. Step 3: Cross multiply
    897.44x = 1,344.32 × 795
  4. Step 4: Simplify right side
    897.44x = 1,068,734.40
  5. Step 5: Solve for x
    x = 1,068,734.40/897.44
  6. Step 6: Final answer
    x = 1,190.87

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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.